Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 16, Problem 31P

A manufacturing firm produces four types of automobile parts. Each is first fabricated and then finished. The required worker hours and profit for each part are

Part
A B C D
Fabrication time (hr/100 units) 2.5 1.5 2.75 2
Finishing time (hr/100 units) 3.5 3 3 2
Profit ($/100 units) 375 275 475 324

The capacities of the fabrication and finishing shops over the next month are 640 and 960 hours, respectively. Determine how many of each part should be produced in order to maximize profit.

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