Housing Costs The cost C of building a house is related to the number k of carpenters used and the number x of electri- cians used by the formula 18 C = 15,000 + 50k² + 60x². a. Assuming that 10 carpenters are currently being used, find the cost function C, marginal cost function C', and average cost function C, all as functions of x. b. Use the functions you obtained in part (a) to compute C'(15) and C(15). Use these two answers to say whether the average cost is increasing or decreasing as the number of electricians increases.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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TWO PART QUESTION (A, B)

Housing Costs The cost C of building a house is related to
the number k of carpenters used and the number x of electri-
cians used by the formula
18
C = 15,000 + 50k² + 60x².
a. Assuming that 10 carpenters are currently being used,
find the cost function C, marginal cost function C', and
average cost function C, all as functions of x.
b. Use the functions you obtained in part (a) to compute
C'(15) and C(15). Use these two answers to say
whether the average cost is increasing or decreasing as
the number of electricians increases.
Transcribed Image Text:Housing Costs The cost C of building a house is related to the number k of carpenters used and the number x of electri- cians used by the formula 18 C = 15,000 + 50k² + 60x². a. Assuming that 10 carpenters are currently being used, find the cost function C, marginal cost function C', and average cost function C, all as functions of x. b. Use the functions you obtained in part (a) to compute C'(15) and C(15). Use these two answers to say whether the average cost is increasing or decreasing as the number of electricians increases.
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