Question
THE ENTIRETY OF THE ASSIGNMENT CAN BE COMPLETED IN EXCEL. BE SURE TO PROVIDE TEXT ANSWERS TO PART B) AND C) WITH EXPLANATIONS.

You are tasked to run present worth analysis for a new distillation column for the ethanol refinery for which you work. The annual costs, annual revenue, salvage, and project life are all known with certainty and presented below. However, there is uncertainty in the values for initial cost and MARR that are required for an economic analysis of the project. You pull historical information from your company and determine the following:
• Parameters known with certainty: o Annual costs: 5,000
o Annual revenue: 15,000 o Salvage: 10,000
o Project Life: 20
• Mean and standard deviation for Initial Costs of similar equipment: o μ = $75,000
oσ= $8,450
• Probability distribution of MARR based on values from the past 10 years: o Values 5-7% have 5% chance of occurring
o Values 8-10% have 25% chance of occurring
o Values 11-12% have 5% chance of occurring
1) Simulate this project’s performance using 100 trials in excel. You will need to generate random numbers and associate with the discrete non-uniform distribution for simulated MARR. You will need to generate random deviates (-3 to 3) for the continuous normal distribution to determine simulated initial cost.
2) Based on your simulation, would you recommend this project on an economic basis?
Explain your answer.
3) Would increasing the number of trials (e.g. 1000 trials instead of 100) run during the simulation result in a worth/economic analysis that reduces the risk and uncertainty of this project decision? Explain your answer.
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.

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
$75.00 $37.5
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Engineering Tutors 529 tutors matched
ionut
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 Version355msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (242ms)time
    • Application (113ms)time
    • 1 x Booting (68.23%)
      242ms
      1 x Application (31.77%)
      113ms
      • Illuminate\Routing\Events\Routing (1.37ms)
      • Illuminate\Routing\Events\RouteMatched (542μs)
      • Illuminate\Foundation\Events\LocaleUpdated (4.77ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (167μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (191μs)
      • Illuminate\Database\Events\ConnectionEstablished (840μs)
      • Illuminate\Database\Events\StatementPrepared (11.87ms)
      • Illuminate\Database\Events\QueryExecuted (1.26ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (95μs)
      • eloquent.booting: App\Models\Subject (74μs)
      • eloquent.booted: App\Models\Subject (39μs)
      • Illuminate\Database\Events\StatementPrepared (1.56ms)
      • Illuminate\Database\Events\QueryExecuted (935μs)
      • eloquent.retrieved: App\Models\Subject (87μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (108μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
      • Illuminate\Database\Events\StatementPrepared (625μs)
      • Illuminate\Database\Events\QueryExecuted (1ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (86μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
      • eloquent.booting: App\Models\SubjectCat (324μs)
      • eloquent.booted: App\Models\SubjectCat (42μs)
      • Illuminate\Database\Events\StatementPrepared (704μs)
      • Illuminate\Database\Events\QueryExecuted (850μs)
      • eloquent.retrieved: App\Models\SubjectCat (82μs)
      • Illuminate\Cache\Events\CacheHit (10.92ms)
      • Illuminate\Cache\Events\CacheMissed (744μs)
      • Illuminate\Database\Events\StatementPrepared (981μs)
      • Illuminate\Database\Events\QueryExecuted (5.37ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (76μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • Illuminate\Database\Events\StatementPrepared (612μs)
      • Illuminate\Database\Events\QueryExecuted (917μs)
      • eloquent.retrieved: App\Models\Subject (92μs)
      • Illuminate\Cache\Events\KeyWritten (1.55ms)
      • Illuminate\Database\Events\StatementPrepared (1.27ms)
      • Illuminate\Database\Events\QueryExecuted (1.1ms)
      • Illuminate\Database\Events\StatementPrepared (632μs)
      • Illuminate\Database\Events\QueryExecuted (1.17ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (66μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (19μs)
      • Illuminate\Database\Events\StatementPrepared (1.02ms)
      • Illuminate\Database\Events\QueryExecuted (1.33ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (43μs)
      • Illuminate\Cache\Events\CacheHit (477μs)
      • creating: homework.show (293μs)
      • composing: homework.show (119μs)
      • creating: components.breadcrumbs (279μs)
      • composing: components.breadcrumbs (120μs)
      • Illuminate\Database\Events\StatementPrepared (1.11ms)
      • Illuminate\Database\Events\QueryExecuted (914μs)
      • eloquent.retrieved: App\Models\SubjectCat (75μs)
      • Illuminate\Cache\Events\CacheHit (3.24ms)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (102μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (132μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (104μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (98μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (629μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (132μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (132μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (681μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (111μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (109μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (292μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (110μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (342μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • creating: site.layouts.app (362μs)
      • composing: site.layouts.app (17μs)
      • creating: components.canonical (286μs)
      • composing: components.canonical (72μs)
      • creating: components.open-graph (178μs)
      • composing: components.open-graph (53μs)
      • creating: site.headers.header (178μs)
      • composing: site.headers.header (50μs)
      • Illuminate\Cache\Events\CacheHit (1.21ms)
      • creating: components.footer (69μs)
      • composing: components.footer (74μs)
      • Illuminate\Cache\Events\CacheHit (599μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (113μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (132μs)
      • creating: components.forms.contact-us (178μs)
      • composing: components.forms.contact-us (109μs)
      • creating: components.forms.get-started (89μs)
      • composing: components.forms.get-started (47μs)
      • creating: components.forms.free-tool-download (70μs)
      • composing: components.forms.free-tool-download (42μs)
      • creating: components.forms.claim-free-worksheet (90μs)
      • composing: components.forms.claim-free-worksheet (60μs)
      • creating: components.forms.tutor-subscription-waitlist (74μs)
      • composing: components.forms.tutor-subscription-waitlist (42μs)
      • creating: components.forms.tutor-subscription-join (67μs)
      • composing: components.forms.tutor-subscription-join (43μs)
      • creating: components.forms.tutor-support (69μs)
      • composing: components.forms.tutor-support (44μs)
      • 321 x Illuminate\Cache\Events\CacheHit (16.5%)
        58.55ms
        10 x Illuminate\Database\Events\StatementPrepared (5.75%)
        20.39ms
        10 x Illuminate\Database\Events\QueryExecuted (4.18%)
        14.84ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.34%)
        4.77ms
        1 x Illuminate\Cache\Events\KeyWritten (0.44%)
        1.55ms
        1 x Illuminate\Routing\Events\Routing (0.39%)
        1.37ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.24%)
        840μs
        1 x Illuminate\Cache\Events\CacheMissed (0.21%)
        744μs
        1 x Illuminate\Routing\Events\RouteMatched (0.15%)
        542μs
        1 x creating: site.layouts.app (0.1%)
        362μs
        1 x eloquent.booting: App\Models\SubjectCat (0.09%)
        324μs
        1 x creating: homework.show (0.08%)
        293μs
        1 x creating: components.canonical (0.08%)
        286μs
        1 x creating: components.breadcrumbs (0.08%)
        279μs
        8 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.07%)
        250μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)
        214μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        191μs
        2 x eloquent.retrieved: App\Models\Subject (0.05%)
        179μs
        1 x creating: components.forms.contact-us (0.05%)
        178μs
        1 x creating: components.open-graph (0.05%)
        178μs
        1 x creating: site.headers.header (0.05%)
        178μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        167μs
        2 x eloquent.retrieved: App\Models\SubjectCat (0.04%)
        157μs
        1 x composing: components.breadcrumbs (0.03%)
        120μs
        1 x composing: homework.show (0.03%)
        119μs
        1 x composing: components.forms.contact-us (0.03%)
        109μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        108μs
        1 x creating: components.forms.claim-free-worksheet (0.03%)
        90μs
        1 x creating: components.forms.get-started (0.03%)
        89μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        74μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        74μs
        1 x composing: components.footer (0.02%)
        74μs
        1 x composing: components.canonical (0.02%)
        72μs
        1 x creating: components.forms.free-tool-download (0.02%)
        70μs
        1 x creating: components.footer (0.02%)
        69μs
        1 x creating: components.forms.tutor-support (0.02%)
        69μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        67μs
        1 x composing: components.forms.claim-free-worksheet (0.02%)
        60μs
        1 x composing: components.open-graph (0.01%)
        53μs
        1 x composing: site.headers.header (0.01%)
        50μs
        1 x composing: components.forms.get-started (0.01%)
        47μs
        1 x composing: components.forms.tutor-support (0.01%)
        44μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        43μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        42μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        42μs
        1 x composing: components.forms.free-tool-download (0.01%)
        42μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        42μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        39μs
        1 x composing: site.layouts.app (0%)
        17μs
      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 duplicated26.75ms
      • 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` = '61614' limit 1
        12mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 61614
        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 (356)
        1.13mstwenty4_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 (61614)
        1.1mstwenty4_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` = 10 limit 1
        1.07mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 10
        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` <> 61614 and `subject` = 356 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        5.64mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 61614
        • 1: 356
        • 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 (356)
        960μstwenty4_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` = 61614 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.09mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 61614
        • 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` = 61614 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.07mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 61614
        • 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` = 61614 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.5mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 61614
        • 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` = 10 limit 1
        1.19mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 10
        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
          Wt9fp9BOKlnfhFaNiAbmZ5HZLLyBIQ7jGuIOk5AG
          utm_source
          direct
          redirectUrl
          /college-homework-library/Engineering/Petroleum-Engineering/61614
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Engineering/Pet...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Engineering/Petroleum-Engineering/61614
          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=1-680c3b0a-6ddd58d97f7c722c7f8fb4d8" ] "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 => "3.21.190.123" ] "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 => "Sat, 26 Apr 2025 01:46:50 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IklIVTF0cEhUTDFIdkRFZ1BkSzJ5U3c9PSIsInZhbHVlIjoiQm1yWm9yN244dEFDVXVsZmlIREY5bFZ6ZTBSWlJJaC9xL2ZIdGRwZFBOMTJkVGtUNWk4SmRWQldQbGpHTU02alN3OWhKVk9UdnA0Nnd2WmU0U3FGVHZqOW5IRzN5SjlxaEk3akZMc1l6R25URnYwUUVLTW1aQWx4ZlVrYTdmT0oiLCJtYWMiOiJlNDkzMGI1Y2FiMTQzNjI1NTQ4MjkwMzk2MmFkNWZmYzQyYWU5ZGNiOTY4MTZjYWNmODA2NzMzNGE5MzM5MjkwIiwidGFnIjoiIn0%3D; expires=Sat, 26 Apr 2025 03:46:50 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IklIVTF0cEhUTDFIdkRFZ1BkSzJ5U3c9PSIsInZhbHVlIjoiQm1yWm9yN244dEFDVXVsZmlIREY5bFZ6ZTBSWlJJaC9xL2ZIdGRwZFBOMTJkVGtUNWk4SmRWQldQbGpHTU02alN3OWhKV" 1 => "24houranswers_session=eyJpdiI6IldPQWNBYjVQSkMxNy9Cdnc0dm96WEE9PSIsInZhbHVlIjoidnBzRFdFSTJ5ekpVVVY5bEd3TkpYR1hYRWJmdXZudlcwZ25ETEFkSXc0ZndZNG1VQlBPdDMxVGpCWFBSdExFdzBUQnBXVXJKNEdCSUo5c0NrVzQxckRQM3BoMTQrT3U0ejhmR21FaXpOQ0x3OWkwZFJ4WlJLaGdDMGpyUE82SWMiLCJtYWMiOiJhZmQwYjk0YjQ2YWFhYWJjNDE0YjFlMGExOGRhMTVjY2IxNmNiYWJjNGJhZTg0N2VmNWI3NWYzZjM1M2RjMTNjIiwidGFnIjoiIn0%3D; expires=Sat, 26 Apr 2025 03:46:50 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IldPQWNBYjVQSkMxNy9Cdnc0dm96WEE9PSIsInZhbHVlIjoidnBzRFdFSTJ5ekpVVVY5bEd3TkpYR1hYRWJmdXZudlcwZ25ETEFkSXc0ZndZNG1VQlBPdDMxVGpCWFBSdE" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IklIVTF0cEhUTDFIdkRFZ1BkSzJ5U3c9PSIsInZhbHVlIjoiQm1yWm9yN244dEFDVXVsZmlIREY5bFZ6ZTBSWlJJaC9xL2ZIdGRwZFBOMTJkVGtUNWk4SmRWQldQbGpHTU02alN3OWhKVk9UdnA0Nnd2WmU0U3FGVHZqOW5IRzN5SjlxaEk3akZMc1l6R25URnYwUUVLTW1aQWx4ZlVrYTdmT0oiLCJtYWMiOiJlNDkzMGI1Y2FiMTQzNjI1NTQ4MjkwMzk2MmFkNWZmYzQyYWU5ZGNiOTY4MTZjYWNmODA2NzMzNGE5MzM5MjkwIiwidGFnIjoiIn0%3D; expires=Sat, 26-Apr-2025 03:46:50 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IklIVTF0cEhUTDFIdkRFZ1BkSzJ5U3c9PSIsInZhbHVlIjoiQm1yWm9yN244dEFDVXVsZmlIREY5bFZ6ZTBSWlJJaC9xL2ZIdGRwZFBOMTJkVGtUNWk4SmRWQldQbGpHTU02alN3OWhKV" 1 => "24houranswers_session=eyJpdiI6IldPQWNBYjVQSkMxNy9Cdnc0dm96WEE9PSIsInZhbHVlIjoidnBzRFdFSTJ5ekpVVVY5bEd3TkpYR1hYRWJmdXZudlcwZ25ETEFkSXc0ZndZNG1VQlBPdDMxVGpCWFBSdExFdzBUQnBXVXJKNEdCSUo5c0NrVzQxckRQM3BoMTQrT3U0ejhmR21FaXpOQ0x3OWkwZFJ4WlJLaGdDMGpyUE82SWMiLCJtYWMiOiJhZmQwYjk0YjQ2YWFhYWJjNDE0YjFlMGExOGRhMTVjY2IxNmNiYWJjNGJhZTg0N2VmNWI3NWYzZjM1M2RjMTNjIiwidGFnIjoiIn0%3D; expires=Sat, 26-Apr-2025 03:46:50 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IldPQWNBYjVQSkMxNy9Cdnc0dm96WEE9PSIsInZhbHVlIjoidnBzRFdFSTJ5ekpVVVY5bEd3TkpYR1hYRWJmdXZudlcwZ25ETEFkSXc0ZndZNG1VQlBPdDMxVGpCWFBSdE" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "Wt9fp9BOKlnfhFaNiAbmZ5HZLLyBIQ7jGuIOk5AG" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Engineering/Petroleum-Engineering/61614" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Engineering/Petroleum-Engineering/61614" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]