SOLUTION: Bill has decided to go into business manufacturing and selling computers out of the garage of his home. He spent ​$1,000 to remodel his garage and to buy tools. It costs him ​$

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Question 1147407: Bill has decided to go into business manufacturing and selling computers out of the garage of his home. He spent ​$1,000 to remodel his garage and to buy tools. It costs him ​$250 for the parts to make a​ computer, which he sells for ​$500.
a. Find the cost function​ C(x), the revenue function​ R(x), and the profit function​ P(x).
b. How many computers will he have to sell in order to make a profit of ​$12,000​?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

(a)  C(x) = 1000 + 250*x    dollars.


     R(x) = 500x            dollars.


     P(x) = R(x) - C(x) = 500x - (1000 + 250x) = 250x - 1000  dollars.



(b)  To answer (b), solve the equation


         P(x) = 12000  dollars,   which is the same as


         250x - 1000 = 12000.



     The solution in steps is


        250x = 12000 + 1000 = 13000

           x                =  = 52 computers.   ANSWER


Solved: I answered all the questions.



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