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The Svelte Glove Company manufactures and sells two products: work gloves and driving gloves. The company makes a profit of $12 for each pair of work gloves sold and a profit of $4 for each pair of driving gloves sold. The labor-hour requirements for the products in each of the three production departments is shown in the table below: Department Cutting Sewing Finishing Labor-Hour Requirements Work Gloves 1 1 2 Driving Gloves 2 3 3 Each product must be processed by each one of the three departments before it's complete and ready for sale. Reading the table above, for example, each pair of driving gloves must spend two hours in the Cutting Department, three hours in the Sewing Department, and three hours in the Finishing Department before they're complete. The supervisors of the three departments have estimated that the following numbers of labor hours will be available during the next month: Cutting 800 hours Sewing 1,600 hours Finishing 2,000 hours You are required to: Construct a spreadsheet model that: 1) Specifies the number of work gloves and driving gloves to manufacture in the next month. 2) Determines the total number of hours required in each of the three departments to produce these amounts. 3) Allows you to experiment with a variety of product mix scenarios. 4) Finds the product mix that yields maximum total profit while keeping within the constraints.

The Svelte Glove Company manufactures and sells two products: work gloves and driving gloves. The company makes a profit of $12 for each pair of work gloves sold and a profit of $4 for each pair of driving gloves sold. The labor-hour requirements for the products in each of the three production departments is shown in the table below: Department Cutting Sewing Finishing Labor-Hour Requirements Work Gloves 1 1 2 Driving Gloves 2 3 3 Each product must be processed by each one of the three departments before it's complete and ready for sale. Reading the table above, for example, each pair of driving gloves must spend two hours in the Cutting Department, three hours in the Sewing Department, and three hours in the Finishing Department before they're complete. The supervisors of the three departments have estimated that the following numbers of labor hours will be available during the next month: Cutting 800 hours Sewing 1,600 hours Finishing 2,000 hours You are required to: Construct a spreadsheet model that: 1) Specifies the number of work gloves and driving gloves to manufacture in the next month. 2) Determines the total number of hours required in each of the three departments to produce these amounts. 3) Allows you to experiment with a variety of product mix scenarios. 4) Finds the product mix that yields maximum total profit while keeping within the constraints.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.4: Aggregate Planning Models
Problem 16P
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The Svelte Glove Company manufactures and sells two products: work gloves and driving gloves. The company makes a profit of $12 for each pair of work gloves sold and a profit of $4 for each pair of driving gloves sold. The labor-hour requirements for the products in each of the three production departments is shown in the table below: Department Cutting Sewing Finishing Labor-Hour Requirements Work Gloves 1 1 2 Driving Gloves 2 3 3 Each product must be processed by each one of the three departments before it's complete and ready for sale. Reading the table above, for example, each pair of driving gloves must spend two hours in the Cutting Department, three hours in the Sewing Department, and three hours in the Finishing Department before they're complete. The supervisors of the three departments have estimated that the following numbers of labor hours will be available during the next month: Cutting 800 hours Sewing 1,600 hours Finishing 2,000 hours You are required to: Construct a spreadsheet model that: 1) Specifies the number of work gloves and driving gloves to manufacture in the next month. 2) Determines the total number of hours required in each of the three departments to produce these amounts. 3) Allows you to experiment with a variety of product mix scenarios. 4) Finds the product mix that yields maximum total profit while keeping within the constraints.
Transcribed Image Text:The Svelte Glove Company manufactures and sells two products: work gloves and driving gloves. The company makes a profit of $12 for each pair of work gloves sold and a profit of $4 for each pair of driving gloves sold. The labor-hour requirements for the products in each of the three production departments is shown in the table below: Department Cutting Sewing Finishing Labor-Hour Requirements Work Gloves 1 1 2 Driving Gloves 2 3 3 Each product must be processed by each one of the three departments before it's complete and ready for sale. Reading the table above, for example, each pair of driving gloves must spend two hours in the Cutting Department, three hours in the Sewing Department, and three hours in the Finishing Department before they're complete. The supervisors of the three departments have estimated that the following numbers of labor hours will be available during the next month: Cutting 800 hours Sewing 1,600 hours Finishing 2,000 hours You are required to: Construct a spreadsheet model that: 1) Specifies the number of work gloves and driving gloves to manufacture in the next month. 2) Determines the total number of hours required in each of the three departments to produce these amounts. 3) Allows you to experiment with a variety of product mix scenarios. 4) Finds the product mix that yields maximum total profit while keeping within the constraints.
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ISBN:
9781337406659
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