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The Office Supplies Company offers two types of pens, the first type ha gh specifications, while the second type has normal specifications. The expected ofit from selling each unit of the first type is half a dollar, and from selling eac hit of the second type is a quarter of a dollar. The time taken to manufacture the first type is twice the time taken t anufacture the second type for the purpose of producing no more than 1,000 pen both types per week. The company can produce at most 400 units of the first typ er week, and it can produce no more than 700 units of the second type per week ote that the company can produce each of them separately. Required: Create the linear programming model to find the optimal production ix so that the company achieves the maximum possible profit.

The Office Supplies Company offers two types of pens, the first type ha gh specifications, while the second type has normal specifications. The expected ofit from selling each unit of the first type is half a dollar, and from selling eac hit of the second type is a quarter of a dollar. The time taken to manufacture the first type is twice the time taken t anufacture the second type for the purpose of producing no more than 1,000 pen both types per week. The company can produce at most 400 units of the first typ er week, and it can produce no more than 700 units of the second type per week ote that the company can produce each of them separately. Required: Create the linear programming model to find the optimal production ix so that the company achieves the maximum possible profit.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications, while the second type has normal specifications. The expected profit from selling each unit of the first type is half a dollar, and from selling each unit of the second type is a quarter of a dollar. The time taken to manufacture the first type is twice the time taken to manufacture the second type for the purpose of producing no more than 1,000 pens of both types per week. The company can produce at most 400 units of the first type per week, and it can produce no more than 700 units of the second type per week. Note that the company can produce each of them separately. Required: Create the linear programming model to find the optimal production mix so that the company achieves the maximum possible profit.
Transcribed Image Text:Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications, while the second type has normal specifications. The expected profit from selling each unit of the first type is half a dollar, and from selling each unit of the second type is a quarter of a dollar. The time taken to manufacture the first type is twice the time taken to manufacture the second type for the purpose of producing no more than 1,000 pens of both types per week. The company can produce at most 400 units of the first type per week, and it can produce no more than 700 units of the second type per week. Note that the company can produce each of them separately. Required: Create the linear programming model to find the optimal production mix so that the company achieves the maximum possible profit.
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