A furniture company makes couches and coffee tables. The profit on each couch is $500 and on each coffee table is $600. Objective function: $500x + 600y B) the manufacturer is bound by the following constraints. equipment in the factory only allows for making 200 pieces of furniture per month. Regular retail outlets require at least 10 couches and 80 coffee tables per month. Of course, the company can only manufacture non-negative amounts of couches and coffee tables. Problem: identify the combination of couches and coffee tables that maximizes profit, and give the amount of profit.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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A furniture company makes couches and coffee tables. The profit on each couch is $500 and on each coffee table is $600. Objective function: $500x + 600y B) the manufacturer is bound by the following constraints. equipment in the factory only allows for making 200 pieces of furniture per month. Regular retail outlets require at least 10 couches and 80 coffee tables per month. Of course, the company can only manufacture non-negative amounts of couches and coffee tables. Problem: identify the combination of couches and coffee tables that maximizes profit, and give the amount of profit. Show the calculations of all possibilities in your work.
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