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?
$
The total number of fax machines demanded per month does not exceed 2500.
So, x+y<=2500
The company has earmarked no more than $600,000/month for manufacturing costs.
Total cost= 100x+150y
So, 100x+150y<= 600000
Total monthly profit= 40x+45y
So we have to maximize P=40x+45y
Subject to: x+y&l...
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