The cost C of building a house is related to the number k of carpenters used and the number x of electricians used by the following formula.† 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. C(x) = C'(x) = C(x) = (b) Use the functions you obtained in part (a) to compute C'(17) and C(17). (Round your answers to the nearest cent.) C'(17) =$ __________________per spot C(17) =$ _______________ per spot Use these two answers to say whether the average cost is increasing or decreasing as the number of electricians increases. The average cost is increasing as x increases. The average cost is decreasing as x increases.
The cost C of building a house is related to the number k of carpenters used and the number x of electricians used by the following formula.† 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. C(x) = C'(x) = C(x) = (b) Use the functions you obtained in part (a) to compute C'(17) and C(17). (Round your answers to the nearest cent.) C'(17) =$ __________________per spot C(17) =$ _______________ per spot Use these two answers to say whether the average cost is increasing or decreasing as the number of electricians increases. The average cost is increasing as x increases. The average cost is decreasing as x increases.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
The cost C of building a house is related to the number k of carpenters used and the number x of electricians used by the following formula.†
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.C(x)
=
C'(x)
=
C(x)
=
(b)
Use the functions you obtained in part (a) to compute
C'(17)
and
C(17).
(Round your answers to the nearest cent.)C'(17)
=$ __________________per spot
C(17)
=$ _______________ per spotUse these two answers to say whether the average cost is increasing or decreasing as the number of electricians increases.
The average cost is increasing as x increases.
The average cost is decreasing as x increases.
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