Question

A tire company determines that to manufacture a certain type of tire, it costs $9000 to set up the production process. Each tire that is produced costs $21 in material and labor. The company sells this tire to wholesale distributors for $49 each.

(a) Find a linear function C that models the total cost

C(x)
of producing x tires.

C(x) =

I got 9000+21x

(b) Find a linear function R that models the revenue


Not sure

R(x)
from selling x tires.

R(x) =

Also not sure

(c) Find a linear function P that models the profit P(x) from selling x tires. [Note: profit = revenue − cost.]

Answer 1

C = 9000 + 21 x yes

Revenue = R = 49 x

P = 49 x - 21 x - 9000
so
P = 28 x - 9000

now for some reason they did not asdk how ma tires must be sold to break even but it would be
P = 0
28 x = 9000
x = 9000/28

Answer 2

revenue=49x

profit=revenue-cost