Middletown manufacturing company makes plastic plates and cups, both of which require time on two machienes. Producing a unit of plates requires 1 hour on machine A and 2 hours on machine B.  Producing a unit of cups requires 3 hours on machine A and 1 hour on machine B. Each machine is operating for at most 15 hours a day.  Each unit of plates brings in 10 dollars in profit for the company.  Each unit of cups brings in 12 dollars profit for the company. A  Write a system of inequalities expressing these conditions and graph the feasible reigon. B  Find the profit maximizing combination of plates and cups this company can and shoud produce.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Middletown manufacturing company makes plastic plates and cups, both of which require time on two machienes. Producing a unit of plates requires 1 hour on machine A and 2 hours on machine B.  Producing a unit of cups requires 3 hours on machine A and 1 hour on machine B. Each machine is operating for at most 15 hours a day.  Each unit of plates brings in 10 dollars in profit for the company.  Each unit of cups brings in 12 dollars profit for the company.

A  Write a system of inequalities expressing these conditions and graph the feasible reigon.

B  Find the profit maximizing combination of plates and cups this company can and shoud produce.

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