A manufacturing company produces two products, P1 and P2, and seeks to maximize its profit, where each unit of P1 generates $50, and each unit of P2 generates $40. The production of P1 requires 4 hours of labor and 3 units of raw material per unit, while P2 requires 3 hours of labor and 2 units of raw material per unit. The company has a total of 240 labor hours and 100 units of raw material available. Additionally, demand for P1 is limited to a maximum of 40 units, while there is no restriction for P2. The goal is to determine the optimal production quantities of P1 and P2 to maximize profit while satisfying these constraints. [5] 9328-2

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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A manufacturing company produces two products, P1 and P2, and seeks to maximize its profit, where each unit of P1 generates $50, and each unit
of P2 generates $40. The production of P1 requires 4 hours of labor and 3 units of raw material per unit, while P2 requires 3 hours of labor and 2
units of raw material per unit. The company has a total of 240 labor hours and 100 units of raw material available. Additionally, demand for P1 is
limited to a maximum of 40 units, while there is no restriction for P2. The goal is to determine the optimal production quantities of P1 and P2 to
maximize profit while satisfying these constraints.
[5]
9328-2
Transcribed Image Text:A manufacturing company produces two products, P1 and P2, and seeks to maximize its profit, where each unit of P1 generates $50, and each unit of P2 generates $40. The production of P1 requires 4 hours of labor and 3 units of raw material per unit, while P2 requires 3 hours of labor and 2 units of raw material per unit. The company has a total of 240 labor hours and 100 units of raw material available. Additionally, demand for P1 is limited to a maximum of 40 units, while there is no restriction for P2. The goal is to determine the optimal production quantities of P1 and P2 to maximize profit while satisfying these constraints. [5] 9328-2
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