Products A and B requires various times for operations on machine M1, M2 and M3. During a certain production period, M1 has 4000 minutes of time available, M2 has 6000 minutes , and M3 has 3000 minutes. Machine time per unit of A 1 minute on M1, 2 minutes on M2 and no time on M3. Machine time per unit of B is 1 minute on each of the three machines. Expected profit contributions are TK 60 per unit of A made and TK 75 per unit of B. If production during the period is limited to products A and B, how many units of each should be made to maximize the profit.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Products A and B requires various times for operations on machine M1, M2 and M3. During a certain production
period, M1 has 4000 minutes of time available, M2 has 6000 minutes , and M3 has 3000 minutes. Machine time
per unit of A 1 minute on M1, 2 minutes on M2 and no time on M3. Machine time per unit of B is 1 minute on
each of the three machines. Expected profit contributions are TK 60 per unit of A made and TK 75 per unit of
B. If production during the period is limited to products A and B, how many units of each should be made to
maximize the profit.

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