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A lactory manufactures two products, A and B. Each product requires the use of three machines, Machine I, Machine II, and Machine III. The time requirements and total hours available on cach machine are listed below. Machine I Machine II Machine III Product A 1 2 4 Product B 2 2 2 Total hours 70 90 160 Table 6.1 If product A generates a profit of $60 per unit and product B a profit of $50 per unit, how many units of cach product should be manufactured to maximize profit, and what is the maximum profit?

A lactory manufactures two products, A and B. Each product requires the use of three machines, Machine I, Machine II, and Machine III. The time requirements and total hours available on cach machine are listed below. Machine I Machine II Machine III Product A 1 2 4 Product B 2 2 2 Total hours 70 90 160 Table 6.1 If product A generates a profit of $60 per unit and product B a profit of $50 per unit, how many units of cach product should be manufactured to maximize profit, and what is the maximum profit?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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A factory manufactures two products, A and B. Each product requires the use of three machines, Machine I, Machine II, and Machine III. The time requirements and total hours available on cach machine are listed below. Machine I Machine II Machine III Product A 1 2 4 Product B 2 2 2 Total hours 70 90 160 Table 6.1 If product A generates a profit of $60 per unit and product B a profit of $50 per unit, how many units of cach product should be manufactured to maximize profit, and what is the maximum profit?
Transcribed Image Text:A factory manufactures two products, A and B. Each product requires the use of three machines, Machine I, Machine II, and Machine III. The time requirements and total hours available on cach machine are listed below. Machine I Machine II Machine III Product A 1 2 4 Product B 2 2 2 Total hours 70 90 160 Table 6.1 If product A generates a profit of $60 per unit and product B a profit of $50 per unit, how many units of cach product should be manufactured to maximize profit, and what is the maximum profit?
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