SOLUTION: Can someone help me on this problem? If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function: P(x) = 2.25x

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Question 57469This question is from textbook Beginning Algebra
: Can someone help me on this problem?
If the inventor 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?
Thanks,
Ashley This question is from textbook Beginning Algebra

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
(a) What is her profit if she sells 2000 units?
P(x) = 2.25x - 7000
P(x) = 2.25(2000) - 7000 = -2500
She loses $2,500 (tough break)
(b) What is her profit if she sells 5000 units?
P(x) = 2.25x - 7000
P(x) = 2.25(5000) - 7000 = 4250
She makes a profit of $4,250
(c) What is the break-even point for sales?
P(x) = 2.25x - 7000
0 = 2.25x - 7000
7000 = 2.25x
7000/2.25 = 3111 1/9

SOLUTION: Can someone help me on this problem? If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function: P(x) = 2.25x - 7000