A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. Hours/Unit Product Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a. Formulate a linear programming model to determine the optimal product mix that will maximize profit. b. Transform this model into standard form.

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 company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two
assembly lines, where the required production times are as follows.
Hours/Unit
Product Line 1 Line 2
A 12 4
B 4 8
Total hours 60 40
a. Formulate a linear programming model to determine the optimal product mix that will maximize profit.
b. Transform this model into standard form.

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,