Question
The calculation for Supply chain aggregrated planning calculation.

Consider the information and data presented in the textbook Exercise 4 & 5 in Chapter 8 (concerning FlexMan, on Page 228). Although you will make use of the information presented in the exercise, you will address the questions below instead of the questions listed in the textbook. One exception – for the changing workforce information (Exercise 5) do not include the assumption of 50% worker productivity in the first two months (assume each worker is fully productive immediately after being hired).

For this assignment, you will be presented with an aggregate planning system that will work for FlexMan and you will use the system to develop various plans. The system is found here: [FlexMan Aggregate Planning System].

Start by developing an understanding of the Excel spreadsheet that would be used by a planner at FlexMan to create a 12-month aggregate plan. Note that a color coding scheme is used that highlight cells that are inputs and those that are to be determined by the planner (i.e., decision variables). Keep a “master” or “template” of the system in one tab, and create other tabs for the specific plans that you develop (see below). It is assumed that all capacity buffering is accounted for in the production rates and therefore needs no explicit consideration in the planning system.

Use the aggregate planning system for FlexMan to develop a series of aggregate plans. Although workforce levels can be changed, you must end the year with 6300 workers. [Note: you may need to add or subtract workers in December (last month of plan) to get back to 6300.] Although not specifically mentioned in the textbook, at no time should you allow inventory levels fall below their beginning levels (100,000 and 50,000 units). Specifically, in each case below, use the aggregate planning system to develop a feasible plan for the demand forecasts in Table 8-11; To simplify your work, you may enter all production units as multiples of 10,000 (e.g., 800,000 units; 810,000 units; 820,000 units; etc.) and, if changing workforce, you may keep workforce level as a multiple of 10 (e.g., 1000, 1010, 1020, etc.). The assessment of your work will be based on its accuracy.

Plan #1: Enter production values for each product so that the workforce is maintained at the initial level of 6300 and overtime is not used. Keep inventory at or above initial levels throughout.

Plan #2: Enter production values for each product so that the workforce is maintained at the initial level of 6300 and overtime is used in high demand months to minimize inventory buildup. Keep inventory at or above initial levels throughout.

Plan #3: Enter production units for each product so that monthly inventory levels stay exactly at their beginning levels. Change workforce levels throughout to limit idle workers, and use overtime to limit worker increases. For the last month, adjust the workforce so that the plan ends with the initial level of 6300 workers.

Plan #4: Enter production units for each product that improves on the plans above. There is no need to use Solver or Linear Programming because you do not need to find the “true” optimum or absolute best plan - a trial-and-error approach is fine. Remember – do not enter production units that result in backlogs, maintain inventory levels each month at the initial levels or above, and end the year with 6300 workers.
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      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (806μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheMissed (175μs)
      • Illuminate\Database\Events\StatementPrepared (663μs)
      • Illuminate\Database\Events\QueryExecuted (798μs)
      • eloquent.retrieved: App\Models\SubjectCat (80μs)
      • Illuminate\Cache\Events\KeyWritten (651μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • creating: site.layouts.app (578μs)
      • composing: site.layouts.app (21μs)
      • creating: components.canonical (344μs)
      • composing: components.canonical (87μs)
      • creating: components.open-graph (162μs)
      • composing: components.open-graph (69μs)
      • creating: site.headers.header (242μs)
      • composing: site.headers.header (80μs)
      • Illuminate\Cache\Events\CacheHit (1.74ms)
      • creating: components.footer (68μs)
      • composing: components.footer (84μs)
      • Illuminate\Cache\Events\CacheHit (873μs)
      • Illuminate\Cache\Events\CacheMissed (396μs)
      • Illuminate\Database\Events\StatementPrepared (846μs)
      • Illuminate\Database\Events\QueryExecuted (1.23ms)
      • eloquent.retrieved: App\Models\SubjectCat (65μs)
      • Illuminate\Cache\Events\KeyWritten (1.76ms)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (442μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • creating: components.forms.contact-us (267μs)
      • composing: components.forms.contact-us (167μs)
      • creating: components.forms.get-started (159μs)
      • composing: components.forms.get-started (75μs)
      • creating: components.forms.free-tool-download (113μs)
      • composing: components.forms.free-tool-download (67μs)
      • creating: components.forms.claim-free-worksheet (104μs)
      • composing: components.forms.claim-free-worksheet (64μs)
      • creating: components.forms.tutor-subscription-waitlist (104μs)
      • composing: components.forms.tutor-subscription-waitlist (64μs)
      • creating: components.forms.tutor-subscription-join (98μs)
      • composing: components.forms.tutor-subscription-join (66μs)
      • creating: components.forms.tutor-support (103μs)
      • composing: components.forms.tutor-support (70μs)
      • 312 x Illuminate\Cache\Events\CacheHit (16.76%)
        74.68ms
        19 x Illuminate\Database\Events\StatementPrepared (6.28%)
        27.97ms
        19 x Illuminate\Database\Events\QueryExecuted (5.33%)
        23.75ms
        10 x Illuminate\Cache\Events\KeyWritten (1.82%)
        8.09ms
        10 x Illuminate\Cache\Events\CacheMissed (1.63%)
        7.28ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.05%)
        4.69ms
        2 x eloquent.retrieved: App\Models\Subject (0.52%)
        2.30ms
        1 x Illuminate\Routing\Events\Routing (0.3%)
        1.36ms
        11 x eloquent.retrieved: App\Models\SubjectCat (0.21%)
        954μs
        1 x Illuminate\Database\Events\ConnectionEstablished (0.2%)
        891μs
        1 x creating: site.layouts.app (0.13%)
        578μs
        1 x Illuminate\Routing\Events\RouteMatched (0.13%)
        560μs
        1 x eloquent.booting: App\Models\SubjectCat (0.11%)
        504μs
        14 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)
        384μs
        1 x creating: components.canonical (0.08%)
        344μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)
        312μs
        1 x creating: homework.show (0.07%)
        305μs
        1 x creating: components.breadcrumbs (0.06%)
        282μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)
        270μs
        1 x creating: components.forms.contact-us (0.06%)
        267μs
        1 x creating: site.headers.header (0.05%)
        242μs
        1 x composing: components.forms.contact-us (0.04%)
        167μs
        1 x creating: components.open-graph (0.04%)
        162μs
        1 x creating: components.forms.get-started (0.04%)
        159μs
        1 x composing: components.breadcrumbs (0.03%)
        132μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        129μs
        1 x composing: homework.show (0.03%)
        129μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        123μs
        1 x creating: components.forms.free-tool-download (0.03%)
        113μs
        1 x eloquent.booting: App\Models\Subject (0.03%)
        112μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        111μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        104μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        104μs
        1 x creating: components.forms.tutor-support (0.02%)
        103μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        98μs
        1 x composing: components.canonical (0.02%)
        87μs
        1 x composing: components.footer (0.02%)
        84μs
        1 x composing: site.headers.header (0.02%)
        80μs
        1 x composing: components.forms.get-started (0.02%)
        75μs
        1 x composing: components.forms.tutor-support (0.02%)
        70μs
        1 x composing: components.open-graph (0.02%)
        69μs
        1 x creating: components.footer (0.02%)
        68μs
        1 x composing: components.forms.free-tool-download (0.02%)
        67μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        66μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        64μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        64μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        48μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        44μs
        1 x composing: site.layouts.app (0%)
        21μs
      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
      19 statements were executed, 5 of which were duplicates, 14 unique. Show only duplicated36.91ms
      • 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` = '36858' limit 1
        10.91mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 36858
        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 (388)
        1.29mstwenty4_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 (36858)
        2.7mstwenty4_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
        1.17mstwenty4_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` <> 36858 and `subject` = 388 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        3.47mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 36858
        • 1: 388
        • 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 (388)
        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` = 36858 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.37mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 36858
        • 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` = 36858 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.13mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 36858
        • 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` = 36858 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.05mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 36858
        • 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
        1.08mstwenty4_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
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        2.61mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        1.3mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1
        1.04mstwenty4_siteSubject.php#100
        Bindings
        • 0: 33
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1
        1.12mstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        1.06mstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.29mstwenty4_siteSubject.php#100
        Bindings
        • 0: 34
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        980μstwenty4_siteSubject.php#100
        Bindings
        • 0: 31
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        1.38mstwenty4_siteSubject.php#100
        Bindings
        • 0: 36
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 28. view::components.footer:170
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      14HomeworkLibraryFile.php
      App\Models\SubjectCat
      11SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
          _token
          AiqSC5G8PnmiWRP08aM3f4miBuJAE2hHloqHqJW9
          utm_source
          direct
          redirectUrl
          /college-homework-library/Business/Supply-Chain-Management/36858
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Business/Supply...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Business/Supply-Chain-Management/36858
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
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