A company manufacture two different products. For the coming week 120 hours of labor are available for manufacturing the two products work-hours can be allocated for production or either products l . In addition ,since both products generate a good profit , management is interested in using All 120 hours during the week . Each unit produced of product A requires 3 hours of labor and each unit of product B requires 2.5 hours . (a) Define an equation which states that total work -hours used for producing x units of product A and y units or product B equal 120 . (b) how many units of product A can be produced if 30 units of Product B are produced? (c) if management decides to produce one product only ,what is the maximum quantity which can be produced or product A ? The maximum of product B?

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 company manufacture two different products. For the coming week 120 hours of labor are available for manufacturing the two products work-hours can be allocated for production or either products l . In addition ,since both products generate a good profit , management is interested in using All 120 hours during the week . Each unit produced of product A requires 3 hours of labor and each unit of product B requires 2.5 hours . (a) Define an equation which states that total work -hours used for producing x units of product A and y units or product B equal 120 . (b) how many units of product A can be produced if 30 units of Product B are produced? (c) if management decides to produce one product only ,what is the maximum quantity which can be produced or product A ? The maximum of product B?
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