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help-given-total-cost-4x-y-p-1-25-3x-2y-p-2-12-x-y-total-revenue-p-1-x-p-2-y-calculate-a-quantity-sold-for-each-item-to-get-maximum-profit-b-respective-price-for-each-item-c-the-ma




Question Number 86537 by zainal tanjung last updated on 29/Mar/20
help   given total cost=4x+y  p_1 =25−3x−2y  p_2 =12−x−y  total revenue=p_1 x+p_2 y  calculate:  a). quantity sold for each item          to get maximum profit  b).  respective price for each item  c).  the maximum profit>
$$\mathrm{help}\: \\ $$$$\mathrm{given}\:\mathrm{total}\:\mathrm{cost}=\mathrm{4x}+\mathrm{y} \\ $$$$\mathrm{p}_{\mathrm{1}} =\mathrm{25}−\mathrm{3x}−\mathrm{2y} \\ $$$$\mathrm{p}_{\mathrm{2}} =\mathrm{12}−\mathrm{x}−\mathrm{y} \\ $$$$\mathrm{total}\:\mathrm{revenue}=\mathrm{p}_{\mathrm{1}} \mathrm{x}+\mathrm{p}_{\mathrm{2}} \mathrm{y} \\ $$$$\mathrm{calculate}: \\ $$$$\left.\mathrm{a}\right).\:\mathrm{quantity}\:\mathrm{sold}\:\mathrm{for}\:\mathrm{each}\:\mathrm{item} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{to}\:\mathrm{get}\:\mathrm{maximum}\:\mathrm{profit} \\ $$$$\left.\mathrm{b}\right).\:\:\mathrm{respective}\:\mathrm{price}\:\mathrm{for}\:\mathrm{each}\:\mathrm{item} \\ $$$$\left.\mathrm{c}\right).\:\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{profit}> \\ $$

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