Question

Asked Oct 4, 2019

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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 $35 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?

Step 1

Refer to the question.

There are *x* model A fax machines and *y* model B fax machines and each model A costs $100 to make, and each model B costs $150 whereas the company has earmarked no more than $600,000/month for manufacturing costs that is,

Step 2

Similarly, the profits are $45 for each model A and $35 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2500 so the constraint formed as,

Step 3

Then plot the graph as by finding the intercept and b...

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