## Question

###### National Business Machines manufactures two models of fax machines: A and $B$. Each model A costs $$\$ 100$$ to make, and each model B costs $$\$ 150 .$$ The profits are $$\$ 30$$ for each model $\mathrm{A}$ 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 in order to maximize

National Business Machines manufactures two models of fax machines: A and $B$. Each model A costs $$\$ 100$$ to make, and each model B costs $$\$ 150 .$$ The profits are $$\$ 30$$ for each model $\mathrm{A}$ 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 in order to maximize its monthly profit?

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