1. Estimate the demand function for Checker's Pizza by completing t...

Question
1. Estimate the demand function for Checker's Pizza by completing the following steps:

• Open Excel.
• Download the “Checker's Pizza Data”file from eLearning, Session 4 Resources to your computer.
• Click “File” and "Open." Locate the downloaded Checkers Pizza data on your computer and open the data file.
• Click on the “Data” tab on the toolbar on the top.
• Select “Data Analysis” on the top, right. If you do not have the “Data Analysis” option, then you have not correctly installed the “Data Analysis” tool pack (see above).
• From the dropdown box choose “Regression”, then click OK.
• Select the “Y” or dependent variable of the model, which is “Q,” and highlight the array of data for “Q”
• Next, select the independent variables in the model “PAL, M INCOME, P, and PBMAC,” by highlighting that array of data. When selecting both the dependent and independent variables it is best to include the data labels Q, P, M, etc. in your arrays. Before proceeding with running the regression, click the label checkbox, if you included the labels in your data array.
• Unless otherwise specified, your output will go to a new worksheet. If you would like to keep the output on the same worksheet click on “Output Range” and specify the area you want the output to be placed.
• Click “OK.”

Your results should match those reported in the text on page 250. You should save your results page.

2. Calculate the following for Checker's Pizza:

Own price elasticity, income elasticity, and cross price elasticity for both Al’s Pizza and Big Macs. Evaluate each at the mean values of the data. Show how you calculated the elasticities, and report your values for each of the elasticities calculated.


You may obtain the mean values with Excel as follows:

• Open the “Checker's Pizza Data” file.
• Click on “Data” in the tool bar and then “Data Analysis”.
• Click on “Descriptive Statistics.” Select input range and highlight your data. It is best to include your labels in the array. Click the labels box, if you did include the labels. Also click the summary statistics box.
• Click “OK.” Save the output file, and print a copy of the output for submission.

To complete the following questions, you must use the output you generated and the elasticities you calculated in part 2.

3. If Checker's Pizza lowers its price by 20%, what will be the impact on pizzas sold?

4. Checker's management has seen a report indicating that consumer income will increase by 3% next year. What would be the percentage change in pizzas sold?

5. Which is a better substitute for Checker's Pizza, Al’s Pizza or Big Macs? Explain your answer.

6. If expectations for next year are that P, M INCOME, PAL, and PBMAC are all going to increase by 8%, by what percent would the demand for Checker's Pizza change? Use the elasticities you calculated in question 2 (above) to complete this question.

7. If the independent variables (P, M INCOME, PAL, and PBMAC) take on the values below, how many pizzas could Checker's expect to sell?
P = $12.50 M INCOME = $30,000
PAL = $11.00 PBMAC = $1.00
Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references.
Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.

Question 1:
SUMMARY OUTPUT

Regression Statistics
Multiple R 0.9775
R Square 0.9555
Adjusted R Square 0.9461
Standard Error 42.4112
Observations 24.0000
This is only a preview of the solution.
Please use the purchase button to see the entire solution.
By purchasing this solution you'll be able to access the following files:
Solution.xlsx
Purchase Solution
$56.25
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Business Tutors 529 tutors matched
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5 (5,654+ sessions)
2 hours avg response
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5 (5,652+ sessions)
2 hours avg response
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5 (5,512+ sessions)
1 hour avg response

Similar Homework Solutions

8.1.0PHP Version1.02sRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (686ms)time
    • Application (337ms)time
    • 1 x Booting (67.06%)
      686ms
      1 x Application (32.94%)
      337ms
      • Illuminate\Routing\Events\Routing (1.41ms)
      • Illuminate\Routing\Events\RouteMatched (3.21ms)
      • Illuminate\Foundation\Events\LocaleUpdated (2.66ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (253μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (206μs)
      • Illuminate\Database\Events\ConnectionEstablished (943μs)
      • Illuminate\Database\Events\StatementPrepared (5.85ms)
      • Illuminate\Database\Events\QueryExecuted (1.48ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (143μs)
      • eloquent.booting: App\Models\Subject (100μs)
      • eloquent.booted: App\Models\Subject (63μs)
      • Illuminate\Database\Events\StatementPrepared (3.46ms)
      • Illuminate\Database\Events\QueryExecuted (1.35ms)
      • eloquent.retrieved: App\Models\Subject (123μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (124μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (63μs)
      • Illuminate\Database\Events\StatementPrepared (1.6ms)
      • Illuminate\Database\Events\QueryExecuted (851μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (83μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (18μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.booting: App\Models\SubjectCat (2.2ms)
      • eloquent.booted: App\Models\SubjectCat (72μs)
      • Illuminate\Database\Events\StatementPrepared (733μs)
      • Illuminate\Database\Events\QueryExecuted (2.96ms)
      • eloquent.retrieved: App\Models\SubjectCat (205μs)
      • Illuminate\Cache\Events\CacheHit (17.51ms)
      • Illuminate\Cache\Events\CacheMissed (200μs)
      • Illuminate\Database\Events\StatementPrepared (6.01ms)
      • Illuminate\Database\Events\QueryExecuted (17.11ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (113μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • Illuminate\Database\Events\StatementPrepared (1.1ms)
      • Illuminate\Database\Events\QueryExecuted (1.01ms)
      • eloquent.retrieved: App\Models\Subject (117μs)
      • Illuminate\Cache\Events\KeyWritten (1.52ms)
      • Illuminate\Database\Events\StatementPrepared (13.56ms)
      • Illuminate\Database\Events\QueryExecuted (2.2ms)
      • Illuminate\Database\Events\StatementPrepared (898μs)
      • Illuminate\Database\Events\QueryExecuted (1.03ms)
      • Illuminate\Database\Events\StatementPrepared (728μs)
      • Illuminate\Database\Events\QueryExecuted (1.07ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (58μs)
      • Illuminate\Cache\Events\CacheHit (937μs)
      • creating: homework.show (671μs)
      • composing: homework.show (141μs)
      • creating: components.breadcrumbs (336μs)
      • composing: components.breadcrumbs (133μs)
      • Illuminate\Database\Events\StatementPrepared (3.86ms)
      • Illuminate\Database\Events\QueryExecuted (995μs)
      • eloquent.retrieved: App\Models\SubjectCat (93μs)
      • Illuminate\Cache\Events\CacheHit (30.88ms)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (392μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (423μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (263μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (244μs)
      • Illuminate\Cache\Events\CacheHit (400μs)
      • Illuminate\Cache\Events\CacheHit (607μs)
      • Illuminate\Cache\Events\CacheHit (7.47ms)
      • Illuminate\Cache\Events\CacheHit (346μs)
      • Illuminate\Cache\Events\CacheHit (316μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (279μs)
      • Illuminate\Cache\Events\CacheHit (355μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (416μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (294μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (324μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (451μs)
      • Illuminate\Cache\Events\CacheHit (245μs)
      • Illuminate\Cache\Events\CacheHit (7.61ms)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (499μs)
      • Illuminate\Cache\Events\CacheHit (340μs)
      • Illuminate\Cache\Events\CacheHit (490μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (736μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (8.32ms)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (311μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (244μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (1.26ms)
      • Illuminate\Cache\Events\CacheHit (269μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (380μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (3.61ms)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (262μs)
      • Illuminate\Cache\Events\CacheHit (434μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (410μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (294μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (11.31ms)
      • Illuminate\Cache\Events\CacheHit (345μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (8.38ms)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (323μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (350μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (538μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (1.18ms)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (1.77ms)
      • Illuminate\Cache\Events\CacheHit (6.09ms)
      • Illuminate\Cache\Events\CacheHit (440μs)
      • Illuminate\Cache\Events\CacheHit (13.79ms)
      • Illuminate\Cache\Events\CacheHit (387μs)
      • Illuminate\Cache\Events\CacheHit (469μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (425μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (447μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (304μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (399μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (269μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (4.26ms)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (261μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (350μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (443μs)
      • Illuminate\Cache\Events\CacheHit (527μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (10.65ms)
      • Illuminate\Cache\Events\CacheHit (3.94ms)
      • Illuminate\Cache\Events\CacheHit (417μs)
      • Illuminate\Cache\Events\CacheHit (355μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (368μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (699μs)
      • Illuminate\Cache\Events\CacheHit (334μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (8.33ms)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (326μs)
      • creating: site.layouts.app (575μs)
      • composing: site.layouts.app (24μs)
      • creating: components.canonical (886μs)
      • composing: components.canonical (119μs)
      • creating: components.open-graph (180μs)
      • composing: components.open-graph (72μs)
      • creating: site.headers.header (374μs)
      • composing: site.headers.header (82μs)
      • Illuminate\Cache\Events\CacheHit (3.6ms)
      • creating: components.footer (96μs)
      • composing: components.footer (159μs)
      • Illuminate\Cache\Events\CacheHit (1.04ms)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheHit (573μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (450μs)
      • Illuminate\Cache\Events\CacheHit (16.62ms)
      • Illuminate\Cache\Events\CacheHit (300μs)
      • creating: components.forms.contact-us (277μs)
      • composing: components.forms.contact-us (167μs)
      • creating: components.forms.get-started (139μs)
      • composing: components.forms.get-started (194μs)
      • creating: components.forms.free-tool-download (141μs)
      • composing: components.forms.free-tool-download (84μs)
      • creating: components.forms.claim-free-worksheet (128μs)
      • composing: components.forms.claim-free-worksheet (63μs)
      • creating: components.forms.tutor-subscription-waitlist (107μs)
      • composing: components.forms.tutor-subscription-waitlist (91μs)
      • creating: components.forms.tutor-subscription-join (159μs)
      • composing: components.forms.tutor-subscription-join (78μs)
      • creating: components.forms.tutor-support (108μs)
      • composing: components.forms.tutor-support (68μs)
      • 321 x Illuminate\Cache\Events\CacheHit (23.41%)
        239ms
        10 x Illuminate\Database\Events\StatementPrepared (3.69%)
        37.79ms
        10 x Illuminate\Database\Events\QueryExecuted (2.94%)
        30.07ms
        1 x Illuminate\Routing\Events\RouteMatched (0.31%)
        3.21ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.26%)
        2.66ms
        1 x eloquent.booting: App\Models\SubjectCat (0.22%)
        2.20ms
        1 x Illuminate\Cache\Events\KeyWritten (0.15%)
        1.52ms
        1 x Illuminate\Routing\Events\Routing (0.14%)
        1.41ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.09%)
        943μs
        1 x creating: components.canonical (0.09%)
        886μs
        1 x creating: homework.show (0.07%)
        671μs
        1 x creating: site.layouts.app (0.06%)
        575μs
        1 x creating: site.headers.header (0.04%)
        374μs
        1 x creating: components.breadcrumbs (0.03%)
        336μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        331μs
        2 x eloquent.retrieved: App\Models\SubjectCat (0.03%)
        298μs
        1 x creating: components.forms.contact-us (0.03%)
        277μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        253μs
        2 x eloquent.retrieved: App\Models\Subject (0.02%)
        240μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        206μs
        8 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        205μs
        1 x Illuminate\Cache\Events\CacheMissed (0.02%)
        200μs
        1 x composing: components.forms.get-started (0.02%)
        194μs
        1 x creating: components.open-graph (0.02%)
        180μs
        1 x composing: components.forms.contact-us (0.02%)
        167μs
        1 x composing: components.footer (0.02%)
        159μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        159μs
        1 x creating: components.forms.free-tool-download (0.01%)
        141μs
        1 x composing: homework.show (0.01%)
        141μs
        1 x creating: components.forms.get-started (0.01%)
        139μs
        1 x composing: components.breadcrumbs (0.01%)
        133μs
        1 x creating: components.forms.claim-free-worksheet (0.01%)
        128μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        124μs
        1 x composing: components.canonical (0.01%)
        119μs
        1 x creating: components.forms.tutor-support (0.01%)
        108μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.01%)
        107μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        100μs
        1 x creating: components.footer (0.01%)
        96μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        91μs
        1 x composing: components.forms.free-tool-download (0.01%)
        84μs
        1 x composing: site.headers.header (0.01%)
        82μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        78μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        72μs
        1 x composing: components.open-graph (0.01%)
        72μs
        1 x composing: components.forms.tutor-support (0.01%)
        68μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        63μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        63μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        63μs
        1 x composing: site.layouts.app (0%)
        24μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated50.29ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '34077' limit 1
        6.07mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 34077
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (20)
        1.88mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (34077)
        1.85mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1.8mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 4
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 34077 and `subject` = 20 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        21.98mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 34077
        • 1: 20
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (20)
        1.25mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 34077 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        10.49mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 34077
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 34077 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.07mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 34077
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 34077 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        940μstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 34077
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        2.96mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 4
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      8HomeworkLibraryFile.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
      App\Models\SubjectCat
      2SubjectCat.php
          _token
          UxX4hQc16LU87omVk9a2mrbeyOhXyRpdkpNB5N25
          utm_source
          direct
          redirectUrl
          /college-homework-library/Business/Economics/34077
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Business/Econom...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Business/Economics/34077
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [ 0 => "Root=1-67fb66bf-3ca9ed602a6d7a3b5c38ccc0" ] "host" => array:1 [ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "18.117.114.128" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Sun, 13 Apr 2025 07:24:48 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImFIdURnUXRaNndrM1M5M3hsOE1VclE9PSIsInZhbHVlIjoiSm01a0RieGs0MkZwM09oaDQvcjNFanUvNjh5eHlMWThncXUxY21xaHE5R0E1Qkp6MjEzYzkrN29WVWJXbU02V2NKT2JXMVl6VFJpVWgxRTY5a1hCSHlxbU53TnI2MmFlSEZCYzRMQnBDcXFsSW03NW5WcVdWL1gxMlpjUWFRZkgiLCJtYWMiOiI1MjJiZTRlOTFiMTk0MzMyNjhhM2JiYTJhM2Q2MTE0NzRkMmI5YzgxMTI0MDc0YzI2ZDY5NTZjOWM1NDlkNTFkIiwidGFnIjoiIn0%3D; expires=Sun, 13 Apr 2025 09:24:48 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6ImFIdURnUXRaNndrM1M5M3hsOE1VclE9PSIsInZhbHVlIjoiSm01a0RieGs0MkZwM09oaDQvcjNFanUvNjh5eHlMWThncXUxY21xaHE5R0E1Qkp6MjEzYzkrN29WVWJXbU02V2NKT2JXM" 1 => "24houranswers_session=eyJpdiI6IlR3MkQrZUNrUnBTVnFhQ291M2RmMGc9PSIsInZhbHVlIjoiS0x2ZDBmYzJLMFE0d01qT0dJZ0o3RFRTWVgrRUthOHgwVDRYNTB0UXRETkhuKzVCa0ozdTNuRkZUM1dFZ25Qa3RWZGpnOHY2c0xzWmg0VHI4Rzl3c0tSdU94ZFlBdStIaExYNUxVSnRDZzVPZTY1YngzTWt5QUR3NkRYRytGb24iLCJtYWMiOiJjYjIyNWJmYmI1MzAzMWIxMWI1MzNjOTk5NTI0NjEwYzY0MmQwOTM5OTAyMGYzNGQ0OTQxZGJjZjFiMzRlMzdmIiwidGFnIjoiIn0%3D; expires=Sun, 13 Apr 2025 09:24:48 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IlR3MkQrZUNrUnBTVnFhQ291M2RmMGc9PSIsInZhbHVlIjoiS0x2ZDBmYzJLMFE0d01qT0dJZ0o3RFRTWVgrRUthOHgwVDRYNTB0UXRETkhuKzVCa0ozdTNuRkZUM1dFZ2" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImFIdURnUXRaNndrM1M5M3hsOE1VclE9PSIsInZhbHVlIjoiSm01a0RieGs0MkZwM09oaDQvcjNFanUvNjh5eHlMWThncXUxY21xaHE5R0E1Qkp6MjEzYzkrN29WVWJXbU02V2NKT2JXMVl6VFJpVWgxRTY5a1hCSHlxbU53TnI2MmFlSEZCYzRMQnBDcXFsSW03NW5WcVdWL1gxMlpjUWFRZkgiLCJtYWMiOiI1MjJiZTRlOTFiMTk0MzMyNjhhM2JiYTJhM2Q2MTE0NzRkMmI5YzgxMTI0MDc0YzI2ZDY5NTZjOWM1NDlkNTFkIiwidGFnIjoiIn0%3D; expires=Sun, 13-Apr-2025 09:24:48 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6ImFIdURnUXRaNndrM1M5M3hsOE1VclE9PSIsInZhbHVlIjoiSm01a0RieGs0MkZwM09oaDQvcjNFanUvNjh5eHlMWThncXUxY21xaHE5R0E1Qkp6MjEzYzkrN29WVWJXbU02V2NKT2JXM" 1 => "24houranswers_session=eyJpdiI6IlR3MkQrZUNrUnBTVnFhQ291M2RmMGc9PSIsInZhbHVlIjoiS0x2ZDBmYzJLMFE0d01qT0dJZ0o3RFRTWVgrRUthOHgwVDRYNTB0UXRETkhuKzVCa0ozdTNuRkZUM1dFZ25Qa3RWZGpnOHY2c0xzWmg0VHI4Rzl3c0tSdU94ZFlBdStIaExYNUxVSnRDZzVPZTY1YngzTWt5QUR3NkRYRytGb24iLCJtYWMiOiJjYjIyNWJmYmI1MzAzMWIxMWI1MzNjOTk5NTI0NjEwYzY0MmQwOTM5OTAyMGYzNGQ0OTQxZGJjZjFiMzRlMzdmIiwidGFnIjoiIn0%3D; expires=Sun, 13-Apr-2025 09:24:48 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IlR3MkQrZUNrUnBTVnFhQ291M2RmMGc9PSIsInZhbHVlIjoiS0x2ZDBmYzJLMFE0d01qT0dJZ0o3RFRTWVgrRUthOHgwVDRYNTB0UXRETkhuKzVCa0ozdTNuRkZUM1dFZ2" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "UxX4hQc16LU87omVk9a2mrbeyOhXyRpdkpNB5N25" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Business/Economics/34077" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Business/Economics/34077" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]