Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of Product A and y units of Product 8, on two machines, I and I. It has been determined that the company will realize a profit of $4 on each unit of Product A and $5 on each unit of Product 8. To manufacture a unit of Product A requires 5 min on Machine I and 4 min on Machine II. To manufacture a unit of Product B requires 8 min on Machine I and 4 min on Machine II. There are 272 min available on Machine I and 160 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars? Maximize subject to the constraints Machine I Machine II x20 y20

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Formulate but do not solve the following exercise as a linear programming problem.
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 $4 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on
Machine I and 4 min on Machine II. To manufacture a unit of Product B requires 8 min on Machine I and 4 min on Machine II. There are 272 min available on Machine I and 160 min available on Machine II in each work shift. How many units of a product should be produced in each
shift to maximize the company's profit P in dollars?
Maximize
P =
subject to the constraints
Machine I
Machine II
y 2 0
Transcribed Image Text:Formulate but do not solve the following exercise as a linear programming problem. 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 $4 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on Machine I and 4 min on Machine II. To manufacture a unit of Product B requires 8 min on Machine I and 4 min on Machine II. There are 272 min available on Machine I and 160 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars? Maximize P = subject to the constraints Machine I Machine II y 2 0
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