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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.   
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