3.1 Question 47

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 3, Section 3.1

The simplest cost function is the linear cost function, C(x)=mx+b, where the y-intercept b represents the fixed costs of operating a business and the slope m represents the cost of each item produced. Suppose that a small bicycle manufacturer has daily fixed costs of $1800 and each bicycle costs $90 to manufacture.

a) Write a linear model that expressed the cost Cod manufacturing x bicycles in one day

b) Graph the model

c) What is the cost of manufacturing 14 bicycles in a day

d) How many bicycles could be manufactured for $3780.