SOLUTION: The cost (in thousands of dollars) for making x snow blowers is given by the function: C(x)= 200 + 60x The revenue (in thousands of dollars) is given by the function:

Question 402399: The cost (in thousands of dollars) for making x snow blowers is given by the function: C(x)= 200 + 60x
The revenue (in thousands of dollars) is given by the function:
R(x)= 90x-x^2
a) write and simplify a function P that represents the profit (in thousands of dollars) in terms of x.
b) Find the number of snow blowers that would produce a zero profit.
c) What is the profit for selling 18 snow blowers?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

(a)

(b)

use the quadratic formula

and

there is zero profit for selling 10 or 20 snowblowers
(c)
For selling 18 snowblowers:

There is $16K profit for selling 18 snowblowers
---------------
Note that you can see the whole picture by plotting

Note that there is no profit for selling 10 or less snowblowers
or 20 or more snowblowers
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