Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? 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 Paramou employs, according to the equation q = 30n + 0.01n2. dP Use the chain rule to find - HINT [See Example 4.] (Round your answer to the nearest whole number.) dn In = 20 dP dn In - 20 Interpret the result. At an employment level of engineers, Paramount will increase its profit at a rate of $ per additional engineer hired.

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ISBN:9781337282291
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
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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.
dP
Use the chain rule to find
dn
HINT [See Example 4.] (Round your answer to the nearest whole number.)
n = 20
dP
dn In = 20
Interpret the result.
At an employment level of
engineers, Paramount will increase its profit at a rate of $
per additional engineer hired.
Transcribed Image Text: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. dP Use the chain rule to find dn HINT [See Example 4.] (Round your answer to the nearest whole number.) n = 20 dP dn In = 20 Interpret the result. At an employment level of engineers, Paramount will increase its profit at a rate of $ per additional engineer hired.
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