the indicated derivative. In this case, the independent variable is a (unspecifi
ID: 3143045 • Letter: T
Question
the indicated derivative. In this case, the independent variable is a (unspecified) function of t. V = 7/6 pi r^6. Find dV/dt. V/ = (7 pi r^5) dr/dt Paramount Electronics has an annual profit given by p = -100,000 + 5,000q - 0.25q^2 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 + 0.01n^2. Use the chain rule to find dP/dn| (Round your answer to the nearest whole number.) dP/dn = 166896 Interpret the result. At an employment level of 40 engineers, Paramount will increase its profit at a rate of 166896 per additional engineer hired.Explanation / Answer
P = -100,000 + 5,000 q - 0.25 q2
q = 30 n + 0.01 n2
dP/ dn using chain rule is = dP / dq * dq/dn = (5000 - 0.5 q) * (30 +0.02n)
At n =40, q= 30*40 + 0.01 40*40 = 1200 + 16= 1216
substituting dP/dn = (5000 - 0.5*1216) (30 + 0.02*40) = (5000-608) ( 30.8) = 135273.6 ~= 135274
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.