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Question 918965: Please tell me what I did wrong on the last part of this math problem and what is the correct answer?
Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1,030. The cost of producing x lawnmowers is given by the function C(x)= 150x+3,000.
a. Express the revenue R as a function of x. Simplify, do not factor answer.
The answer I got was 1,030x-1/20x^2
b. Express the profit P as a function of x. Simplify, do not factor answer
The answer I got was -1/20x^2+880x-3000
c. Find the value of x that maximizes profit. What is the maximum profit?
The answers I got were 8,800 and 3,869,000
d. What price should be charged in order to maximize profit? Round to the nearest cent.
The answer I got here was $150.34 but it says I am wrong, what is the correct answer?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! d. p = (-1/20)x + 1030
p(8800) = (-1/20)8800 + 1030
p = -440 + 1030 = $
checking
3,869,000 = 590x - (150x + 3000)
3,872,000/440 = 8800
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