A company manufactures x units of Product A and y units of Product B, on two machines, I and II. The company will realize a profit of $4.50/unit of Product A and a profit of $4/unit of Product B. Manufacturing 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. Manufacturing 1 unit of Product B requires 9 min on Machine I and 4 min on Machine II. There are 5 hr of time available on Machine Iand 3 hr of 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 profit?The maximum is P =at (x, y) = ((b) Suppose P = cx + 4y. Find the range of values that the contribution to the profit of 1 unit of Product A, the coefficient c of x, can assume without changing the optimal solution.scs(c) Find the range of values (in hours) that the resource associated with the time constraint on Machine I can assume.s (resource) s(d) Find the shadow price for the resource associated with the time constraint on Machine I.

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Answered: A company manufactures x units of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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