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?

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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?

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Expert Answer

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,

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100x150y 600000...1)

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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,

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xy2500(2) profit function= 45x +35y

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Step 3

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

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ax +by c Then =1 b Where. is x-intercept and is yintercept b

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