SOLUTION: If the inventor in exercise 53(see below) charges $4 per unit,then her profit for producing and selling x units is given by the function P(x) =2.25x-7000 a. what is her profi

Algebra.Com
Question 55539: If the inventor in exercise 53(see below) charges $4 per unit,then her profit for producing and selling x units is given by the function
P(x) =2.25x-7000
a. what is her profit if she sells 2000 units?
b. Waht is her profti if she sells 5000 units?
c. what is the break-even point for sales?
53. from above
Th inventor of a new product believes that the cost of producing the product is given by funciton C(x)=1.75x+7000
Mcgraw hill 6th edition, chapter 7.5, exercise # 54.
Thanks fo much for your valuable time!!!

Answer by Hook(36)   (Show Source): You can put this solution on YOUR website!
Don't worry about what problem number 53 says. Here's what you've got to do:
a. what is her profit if she sells 2000 units?
-Find P(2000). Plug 2000 in for x in your profit function and see what you get:
P(2000) =2.25(2000)-7000
b. what is her profit if she sells 5000 units?
-Nearly the same as a. Find P(5000). Plug 5000 in for x in your profit function and see what you get:
P(5000) =2.25(5000)-7000
c. what is the break-even point for sales?
-Set P(x) equal to 0 and solve for x. Like this:
2.25x - 7000 = 0

RELATED QUESTIONS

Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit (answered by venugopalramana)
Solve the following applications involving functions. If the inventor in... (answered by JP)
If the inventor in Exercise 53 charges $4 per unit, then her profit for producing and... (answered by 303795)
Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit (answered by Poohbear272)
Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit (answered by Poohbear272)
Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit (answered by jim_thompson5910)
I need help with these problems please. 53. Business and finance. The inventor of a... (answered by stanbon)
Solve the following applications involving functions. 10. Business and finance. If... (answered by jim_thompson5910)
Business and finance. If the inventor in exercise 53 charges $4 per unit, then her... (answered by tutorcecilia)