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A factory manufactures two products A and B on three machines X, Y, and Z. Product A requires 10 min of machine X and 5 min of machine Y a one min of machine Z. The requirement of product B is 6 min, 10 min and 2 min of machine X, Y and Z respectively. The profit contribution of products A and B are IQ. 23/- per unit and IQ. 32 /– per unit respectively. In the coming planning period the available capacity of machines X, Y and Z are 2500 min, 2000 min and 500 min respectively. Find the optimal product mix for maximizing the profit.

A factory manufactures two products A and B on three machines X, Y, and Z. Product A requires 10 min of machine X and 5 min of machine Y a one min of machine Z. The requirement of product B is 6 min, 10 min and 2 min of machine X, Y and Z respectively. The profit contribution of products A and B are IQ. 23/- per unit and IQ. 32 /– per unit respectively. In the coming planning period the available capacity of machines X, Y and Z are 2500 min, 2000 min and 500 min respectively. Find the optimal product mix for maximizing the profit.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A factory manufactures two products A and B on three machines X, Y, and Z. Product A requires 10 min of machine X and 5 min of machine Y a one min of machine Z. The requirement of product B is 6 min, 10 min and 2 min of machine X, Y and Z respectively. The profit contribution of products A and B are IQ. 23/- per unit and IQ. 32 /- per unit respectively. In the coming planning period the available capacity of machines X, Y and Z are 2500 min, 2000 min and 500 min respectively. Find the optimal product mix for maximizing the profit.
Transcribed Image Text:A factory manufactures two products A and B on three machines X, Y, and Z. Product A requires 10 min of machine X and 5 min of machine Y a one min of machine Z. The requirement of product B is 6 min, 10 min and 2 min of machine X, Y and Z respectively. The profit contribution of products A and B are IQ. 23/- per unit and IQ. 32 /- per unit respectively. In the coming planning period the available capacity of machines X, Y and Z are 2500 min, 2000 min and 500 min respectively. Find the optimal product mix for maximizing the profit.
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