Answered: two types of display cabinets, type X…

Name: A furniture manufacturer produces two types of display cabinets, type
Uploaded: 2024-03-20T07:07:26.000Z
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Description: A furniture manufacturer produces two types of display cabinets, type X and type Y. On a weekly basis, he must produce at least 2 of each type, but not mote than 5 of type X or more than 6 of type Y. It takes 4 hours to produce type X and 5 hours of

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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A furniture manufacturer produces two types of display cabinets, type X and type Y. On a weekly basis, he must produce at least 2 of each type, but not mote than 5 of type X or more than 6 of type Y. It takes 4 hours to produce type X and 5 hours of type Y in a 40 hour working week. At least 12 workers are needed with 2 working on type X and 3 on type Y at any one time. Assume that the profit on type X is Php800 and profit on type Y is Php1000.
A. Formulate the linear programming problem that optimizes the weekly total profit

B. Solve the problem graphically. Paste your graph inside the box.

C. What are the corner points of the feasible region and what is the optimal weekly total profit?

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