Question
Answer the following questions:

*The printshop at State University purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells the sweatshirts to the printshop for $38 a piece. The cost to the printshop for placing an order is $120, and the carrying cost is 25% of the purchase price. The printshop manager estimates that 1,700 sweatshirts will be sold during the year. The vendor has offered the printshop the following volume discount schedule:


Order Size Discount % Price Carrying Cost
1-299 0%
300-499 2%
500-799 4%
800+ 5%

*The printshop manager wants to determine the printshop's optimal order quantity, given the foregoing quantity discount information.

1. Determine carrying cost as a percentage of purchase price.
2. Calculate EOQ for each discount price
3. Calculate TC for each EOQ
4. What is the printshop's optimal order quantity?

*A canning company produces two sizes of cans—regular and large. The cans are produced in 10,000-can lots. The cans are processed through a stamping operation and a coating operation. The company has 30 days available for both stamping and coating. A lot of regular-size cans requires 2 days to stamp and 4 days to coat. Whereas a lot of large cans requires 4 days to stamp and 2 days to coat. A lot of regular-size cans earns $800 profit, and a lot of large-size cans earns $900 profit. In order to fulfill its obligations under a shipping contract, the company must produce at least 9 lots. The company wants to determine the number of lots to produce of each size can (x1 and x2) in order to maximize profit.
 
1. Write out the Linear Programming Model
2. Set up a chart with all the model parameters
3. Create the Solver problem and highlight the appropriate cells as demonstrated in class.
4. Use Solver and Solver the problem. Create the Sensitivity Report.
5. Change the name of the Sensitivity Report to Prob # Sensitivity Report.
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      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • creating: site.layouts.app (556μs)
      • composing: site.layouts.app (24μs)
      • creating: components.canonical (641μs)
      • composing: components.canonical (113μs)
      • creating: components.open-graph (231μs)
      • composing: components.open-graph (159μs)
      • creating: site.headers.header (342μs)
      • composing: site.headers.header (85μs)
      • Illuminate\Cache\Events\CacheHit (8.83ms)
      • creating: components.footer (160μs)
      • composing: components.footer (129μs)
      • Illuminate\Cache\Events\CacheHit (968μs)
      • Illuminate\Cache\Events\CacheMissed (382μs)
      • Illuminate\Database\Events\StatementPrepared (6.57ms)
      • Illuminate\Database\Events\QueryExecuted (1.33ms)
      • eloquent.retrieved: App\Models\SubjectCat (110μs)
      • Illuminate\Cache\Events\KeyWritten (402μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (449μs)
      • Illuminate\Cache\Events\CacheHit (348μs)
      • Illuminate\Cache\Events\CacheHit (402μs)
      • Illuminate\Cache\Events\CacheHit (361μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • creating: components.forms.contact-us (274μs)
      • composing: components.forms.contact-us (158μs)
      • creating: components.forms.get-started (162μs)
      • composing: components.forms.get-started (73μs)
      • creating: components.forms.free-tool-download (131μs)
      • composing: components.forms.free-tool-download (74μs)
      • creating: components.forms.claim-free-worksheet (139μs)
      • composing: components.forms.claim-free-worksheet (70μs)
      • creating: components.forms.tutor-subscription-waitlist (131μs)
      • composing: components.forms.tutor-subscription-waitlist (66μs)
      • creating: components.forms.tutor-subscription-join (128μs)
      • composing: components.forms.tutor-subscription-join (64μs)
      • creating: components.forms.tutor-support (129μs)
      • composing: components.forms.tutor-support (67μs)
      • 313 x Illuminate\Cache\Events\CacheHit (15.42%)
        116ms
        18 x Illuminate\Database\Events\StatementPrepared (7.03%)
        52.90ms
        18 x Illuminate\Database\Events\QueryExecuted (5.52%)
        41.52ms
        9 x Illuminate\Cache\Events\KeyWritten (1.15%)
        8.64ms
        9 x Illuminate\Cache\Events\CacheMissed (0.84%)
        6.30ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.34%)
        2.58ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.34%)
        2.54ms
        10 x eloquent.retrieved: App\Models\SubjectCat (0.15%)
        1.16ms
        1 x Illuminate\Routing\Events\Routing (0.11%)
        863μs
        1 x creating: components.canonical (0.09%)
        641μs
        1 x creating: site.layouts.app (0.07%)
        556μs
        1 x eloquent.booting: App\Models\SubjectCat (0.07%)
        555μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)
        529μs
        1 x Illuminate\Routing\Events\RouteMatched (0.05%)
        369μs
        1 x creating: site.headers.header (0.05%)
        342μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        322μs
        1 x creating: components.breadcrumbs (0.04%)
        313μs
        1 x creating: components.forms.contact-us (0.04%)
        274μs
        1 x creating: homework.show (0.04%)
        268μs
        6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        259μs
        3 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        253μs
        1 x creating: components.open-graph (0.03%)
        231μs
        1 x composing: components.breadcrumbs (0.03%)
        221μs
        2 x eloquent.retrieved: App\Models\Subject (0.03%)
        218μs
        1 x creating: components.forms.get-started (0.02%)
        162μs
        1 x creating: components.footer (0.02%)
        160μs
        1 x composing: components.open-graph (0.02%)
        159μs
        1 x composing: components.forms.contact-us (0.02%)
        158μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        139μs
        1 x creating: components.forms.free-tool-download (0.02%)
        131μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        131μs
        1 x composing: components.footer (0.02%)
        129μs
        1 x creating: components.forms.tutor-support (0.02%)
        129μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        128μs
        1 x composing: homework.show (0.02%)
        116μs
        1 x composing: components.canonical (0.02%)
        113μs
        1 x composing: site.headers.header (0.01%)
        85μs
        1 x composing: components.forms.free-tool-download (0.01%)
        74μs
        1 x composing: components.forms.get-started (0.01%)
        73μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        72μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        70μs
        1 x composing: components.forms.tutor-support (0.01%)
        67μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        66μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        65μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        64μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        58μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        48μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0%)
        36μs
        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
      18 statements were executed, 5 of which were duplicates, 13 unique. Show only duplicated70.51ms
      • 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` = '18738' limit 1
        21.4mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 18738
        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 (208)
        980μstwenty4_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 (18738)
        940μstwenty4_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` = 5 limit 1
        2.62mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 5
        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` <> 18738 and `subject` = 208 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        2.6mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 18738
        • 1: 208
        • 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 (208)
        1.3mstwenty4_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` = 18738 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.62mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 18738
        • 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` = 18738 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        13.51mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 18738
        • 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` = 18738 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        4.33mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 18738
        • 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` = 5 limit 1
        1.13mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 5
        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` = 4 limit 1
        1mstwenty4_siteSubject.php#100
        Bindings
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        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
        1.56mstwenty4_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
        1.22mstwenty4_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
        1.41mstwenty4_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
        1.17mstwenty4_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
        1.31mstwenty4_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
        5.32mstwenty4_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
        7.09mstwenty4_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\SubjectCat
      10SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      6HomeworkLibraryFile.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      3HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
          _token
          xZzOSydqUsM8nTdJ2wJHbYynEClmfrWzYoJYQbnQ
          utm_source
          direct
          redirectUrl
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          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Exam-Prep/GRE--...
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          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
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          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
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          request_cookies
          []
          
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