A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of Product A and a profit of $3/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. How many units of each product should be produced in each shift to maximize the company's profit? (х, у)%3D What is the optimal profit? (Round your answer to the nearest whole number.) %24

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined
that the company will realize a profit of $5/unit of Product A and a profit of $3/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. How many units of each product should be produced in each shift to maximize
the company's profit?
(x, y) =
What is the optimal profit? (Round your answer to the nearest whole number.)
Transcribed Image Text:A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of Product A and a profit of $3/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. How many units of each product should be produced in each shift to maximize the company's profit? (x, y) = What is the optimal profit? (Round your answer to the nearest whole number.)
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