a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. b) Convert the Linear Programming model to the standard form c) Solve this LPP by using graphical analysis

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A company produces two products, X and Y, which have profits of GH¢ 9 and
GH¢ 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 A
Line B
12
4
Y
4
8
Total Hours
60
40
a) Formulate a linear programming model to determine the optimal product
mix that will maximize profit.
b) Convert the Linear Programming model to the standard form
c) Solve this LPP by using graphical analysis
Transcribed Image Text:A company produces two products, X and Y, which have profits of GH¢ 9 and GH¢ 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 A Line B 12 4 Y 4 8 Total Hours 60 40 a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. b) Convert the Linear Programming model to the standard form c) Solve this LPP by using graphical analysis
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