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Paramount electronics has an annual profit given by p = −100,000 + 5,000q − 0.25q2 dollars, where q is the number of laptop computers it sells each year. the number of laptop computers it can make and sell each year depends on the number n of electrical engineers paramount employs, according to the equation q = 30n + 0.01n2. use the chain rule to find dp dn n = 20 . hint [see example 3.] (round your answer to the nearest whole number.) dp dn n = 20 =

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P= -1000,000 +5000q - 0.25q2 q= 30n + 0.01n2 n = 20 substituting for q in P P= -100,000 + 5000(30n+0.01n^2) - 0.25(30n+0.01n^2) dp/dn = 5000*30+2*0.01*5000 - 0.25*2(30n+0.001n^2)+30+2*0.01n dp/dn = 0.005n^2 +85.02n+150030 substituting for n=20 and solving dp/dn = 151,732

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