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?
What is the optimal profit?
The total number of fax machines demanded per month does not exceed 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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