SOLUTION: Business and finance. If the inventor in exercise 53 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

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Business and finance. If the inventor in exercise 53 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      Log On

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Question 41756This question is from textbook beginning algebra
: Business and finance. If the inventor in exercise 53 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) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Don't know where to begin.
This question is from textbook beginning algebra

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!

First the formula for finding the profit is given.
P(x) = 2.25x - 7000
P(x) = the total profit earned (once you plug in the value of x)
x = the number of units
.
You need to just plug in the number of units for "x".
(a) What is her profit if she sells 2000 units?
P(x) = 2.25(2000) - 7000
= -$2,500 (loosing money)
.
(b) What is her profit if she sells 5000 units?
P(x) = 2.25(5000) - 7000
= $4,250 (profit)
.
(c) What is the break-even point for sales?
Sorry, this one I am not sure of!!