National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100 to make, and each model B costs $150. The profits are $40 for each model A and $30 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profit? (х, у) What is the optimal profit? $ ЕЕ ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100
to make, and each model B costs $150. The profits are $40 for each model A and $30 for each model B fax machine. If the
total number of fax machines demanded per month does not exceed 2500 and the company has earmarked no more than
$600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its
monthly profit?
(х, у)
What is the optimal profit?
$
ЕЕ
?
Transcribed Image Text:National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100 to make, and each model B costs $150. The profits are $40 for each model A and $30 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profit? (х, у) What is the optimal profit? $ ЕЕ ?
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