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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Kathryn Irwin

Business

23 January, 00:18

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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Dean Brock · Answer 1

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