Question
You are the leader of a team focusing on the value stream at Whatzit Manufacturing.
The value stream to be studied produces two products: Small Whatzits (90%) and Tiny Whatzits (10%). To produce either type of whatzit, material flows through the following operations in the sequence shown.
• Cutting
• Fixing
• Fiddling
• Tinkering
• Detailing
• Shipping
Data was collected on the floor for each operation beginning with shipping and working back to cutting. The information below summarizes the data collected.
1. Develop the current state value stream map for this product family. The map should be neatly drawn by hand on 11"x17" paper.
2. Determine the baseline values of the following metrics using the data collected.
• Total value stream WIP
• Total product cycle time (value-added time)
• Total value stream lead time
Show your calculations and state any assumptions.
3. Study the current state map. Identify and explain four areas of waste or potential improvements.
4. Develop the future state map. The map should be neatly drawn by hand on 11"x17" paper.
5. Consider the current state map–opportunities for improvement identified–and the future state map. Identify and explain the first two steps you would implement and how you would determine their effect on the system.

Small Whatzit and Tiny Whatzit Production
Current State Data
Availability
• Total available production time is 8.5 hours (510 min) per shift. Workers have a 30- minute unpaid lunch and two 10-minute breaks making a total of 50 minutes of regularly scheduled downtime.

Customer requirements:
• Average demand = 10080 units per month (or 504 units per day)
• Units per container = 24
• Containers per day = 21
• Shipping month = 20 days
Supplier Information:
• Weekly shipment of 2500 units received from Raw Material, Inc.
Whatzit Process Attributes:
Shipping:
• Shipments made daily via UPS
• 2,000 units in finished goods inventory
Detailing:
• Cycle time = 50 sec
• Changeover = 5 min
• Uptime = 99%
• Quality= 99%
• # Operators = 1
• WIP = 2,000 units between tinkering and detailing
Tinkering:
• Cycle time = 30 sec
• Changeover = 5 min
• Uptime = 99%
• Quality= 98%
• # Operators = 1
• WIP = 2,000 units between fiddling and tinkering
Fiddling:
• Cycle time = 40 sec
• Changeover = 5 min
• Uptime = 99%
• Quality= 97%
• # Operators = 1
• WIP = 3500 units between fixing and fiddling
Brushing:
• First-in, first-out (FIFO) lane between cutting and fixing
• Cycle time = 5 sec
• Changeover = 0
• Uptime = 100%
• Quality= 100%
• # Operators = 1
• WIP = 5,040 units between cutting and fixing
Cutting:
• Cycle time = 45 sec
• Changeover = 60 min
• Uptime = 87%
• Quality= 99%
• # Operators = 1
• WIP = 2,500 units prior to machining
Flow of information and material:
• All communication with customer and supplier are electronic.
• Production control receives monthly forecasts and weekly orders.
• Production control transmits monthly forecasts and weekly orders to supplier.
• Orders are released weekly to the production supervisor.
• Orders are released daily by the supervisor to cutting, fiddling, tinkering, and
detailing.
• All material is pushed to the following process.
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      • Illuminate\Cache\Events\CacheHit (312μs)
      • Illuminate\Cache\Events\CacheHit (509μs)
      • Illuminate\Cache\Events\CacheHit (570μs)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (4.34ms)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (401μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (413μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (318μs)
      • Illuminate\Cache\Events\CacheHit (4.37ms)
      • Illuminate\Cache\Events\CacheHit (372μs)
      • Illuminate\Cache\Events\CacheHit (583μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (354μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (8.26ms)
      • Illuminate\Cache\Events\CacheHit (524μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (467μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (375μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (1.23ms)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (361μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • creating: site.layouts.app (673μs)
      • composing: site.layouts.app (25μs)
      • creating: components.canonical (4.72ms)
      • composing: components.canonical (368μs)
      • creating: components.open-graph (568μs)
      • composing: components.open-graph (315μs)
      • creating: site.headers.header (666μs)
      • composing: site.headers.header (76μs)
      • Illuminate\Cache\Events\CacheHit (2.99ms)
      • creating: components.footer (97μs)
      • composing: components.footer (98μs)
      • Illuminate\Cache\Events\CacheHit (6.45ms)
      • Illuminate\Cache\Events\CacheMissed (754μs)
      • Illuminate\Database\Events\StatementPrepared (973μs)
      • Illuminate\Database\Events\QueryExecuted (1.43ms)
      • eloquent.retrieved: App\Models\SubjectCat (94μs)
      • Illuminate\Cache\Events\KeyWritten (395μs)
      • Illuminate\Cache\Events\CacheHit (470μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (394μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (332μs)
      • Illuminate\Cache\Events\CacheHit (643μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • creating: components.forms.contact-us (322μs)
      • composing: components.forms.contact-us (267μs)
      • creating: components.forms.get-started (12.35ms)
      • composing: components.forms.get-started (111μs)
      • creating: components.forms.free-tool-download (138μs)
      • composing: components.forms.free-tool-download (61μs)
      • creating: components.forms.claim-free-worksheet (90μs)
      • composing: components.forms.claim-free-worksheet (59μs)
      • creating: components.forms.tutor-subscription-waitlist (87μs)
      • composing: components.forms.tutor-subscription-waitlist (54μs)
      • creating: components.forms.tutor-subscription-join (82μs)
      • composing: components.forms.tutor-subscription-join (55μs)
      • creating: components.forms.tutor-support (91μs)
      • composing: components.forms.tutor-support (66μs)
      • 313 x Illuminate\Cache\Events\CacheHit (18.13%)
        166ms
        18 x Illuminate\Database\Events\StatementPrepared (5.58%)
        51.14ms
        18 x Illuminate\Database\Events\QueryExecuted (4.17%)
        38.22ms
        9 x Illuminate\Cache\Events\CacheMissed (1.48%)
        13.55ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.42%)
        13.01ms
        1 x creating: components.forms.get-started (1.35%)
        12.35ms
        9 x Illuminate\Cache\Events\KeyWritten (0.52%)
        4.73ms
        1 x creating: components.canonical (0.52%)
        4.72ms
        1 x Illuminate\Routing\Events\RouteMatched (0.42%)
        3.87ms
        21 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.21%)
        1.95ms
        1 x Illuminate\Routing\Events\Routing (0.2%)
        1.83ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.15%)
        1.39ms
        10 x eloquent.retrieved: App\Models\SubjectCat (0.11%)
        980μs
        1 x eloquent.booting: App\Models\SubjectCat (0.07%)
        684μs
        1 x creating: site.layouts.app (0.07%)
        673μs
        1 x creating: site.headers.header (0.07%)
        666μs
        1 x creating: components.open-graph (0.06%)
        568μs
        1 x creating: components.breadcrumbs (0.04%)
        400μs
        1 x creating: homework.show (0.04%)
        373μs
        1 x composing: components.canonical (0.04%)
        368μs
        1 x creating: components.forms.contact-us (0.04%)
        322μs
        1 x composing: components.open-graph (0.03%)
        315μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        308μs
        1 x composing: components.forms.contact-us (0.03%)
        267μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        246μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        224μs
        2 x eloquent.retrieved: App\Models\Subject (0.02%)
        221μs
        1 x composing: components.breadcrumbs (0.02%)
        174μs
        1 x composing: homework.show (0.02%)
        171μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        159μs
        1 x creating: components.forms.free-tool-download (0.02%)
        138μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        133μs
        1 x composing: components.forms.get-started (0.01%)
        111μs
        1 x composing: components.footer (0.01%)
        98μs
        1 x creating: components.footer (0.01%)
        97μs
        1 x creating: components.forms.tutor-support (0.01%)
        91μs
        1 x creating: components.forms.claim-free-worksheet (0.01%)
        90μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.01%)
        87μs
        1 x creating: components.forms.tutor-subscription-join (0.01%)
        82μs
        1 x composing: site.headers.header (0.01%)
        76μs
        1 x composing: components.forms.tutor-support (0.01%)
        66μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        65μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        64μs
        1 x composing: components.forms.free-tool-download (0.01%)
        61μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        59μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        59μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        55μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        54μs
        1 x composing: site.layouts.app (0%)
        25μs
      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
      18 statements were executed, 5 of which were duplicates, 13 unique. Show only duplicated62.52ms
      • 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` = '59893' limit 1
        17.49mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 59893
        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 (426)
        1.19mstwenty4_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 (59893)
        3.61mstwenty4_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
        1.78mstwenty4_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` <> 59893 and `subject` = 426 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        5.05mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 59893
        • 1: 426
        • 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 (426)
        1.07mstwenty4_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` = 59893 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.37mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 59893
        • 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` = 59893 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        3.88mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 59893
        • 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` = 59893 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.93mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 59893
        • 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
        2.18mstwenty4_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
        6.4mstwenty4_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` = 4 limit 1
        990μstwenty4_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` = 10 limit 1
        1.06mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        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
        980μstwenty4_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
        1.63mstwenty4_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
        5.14mstwenty4_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
        5.29mstwenty4_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` = 36 limit 1
        1.48mstwenty4_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
      21HomeworkLibraryFile.php
      App\Models\SubjectCat
      10SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
          _token
          yGU2SOvNCkBOCjqZJNDWz4EKfwYRgudDgY3M1IfK
          utm_source
          direct
          redirectUrl
          /college-homework-library/Business/Quality-Management/59893
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Business/Qualit...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Business/Quality-Management/59893
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
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