question archive A company manufactures two products, A and B, on two machines, I and II
A company manufactures two products, A and B, on two machines, I and II
Subject:MathPrice: Bought3
A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a pro?t of $3/unit of product A and a pro?t of $4/unit of product B. To manufacture a unit of product A requires 6 min on machine I and 5 min on machine II. To manufacture a unit of product B requires 9 min on machine I and 4 min on machine II. There are 5 hr of machine time available on machine I and 3 hr of machine time available on machine II in each work shift. a. How many units of each product should be produced in each shift to maximize the company's pro?ts? What is the optimal pro?t? b. Find the range of values that the contribution to the pro?t of 1 unit of product A can assume without changing the optimal solution. c. Find the range of values that the recourse associated with the time constraint on machine I can assume. d. Find the shadow price for the recourse associated with the time constraint on machine I.
