# 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 \$45 for each model A and \$40 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?(x, y) =     What is the optimal profit?\$

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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 \$45 for each model A and \$40 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?

(x, y)  =

What is the optimal profit?
\$

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Step 1

The total number of fax machines demanded per month does not exceed 2500.

So, x+y<=2500

Step 2

The company has earmarked no more than \$600,000/month for manufacturing costs.

Total cost= 100x+150y

So, 100x+150y<= 600000

Step 3

Total monthly profit= 40x+45y

So we have to maximize P=40x+45y

Subject to: x+y&l...

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