Question 53495This question is from textbook Applied College Algebra
: 64. A manufacturer's selling price for a personal digit assistant (PDA) is given by p(x) = 125 - x/500, where x is the number of PDA's sold and p(x) is the price per PDA in dollars.
a. Write the revenue r as a function of x.
b. If the cost to produce x PDA's is given by c(x) = 300 + 50x - 0.001x^2, find the profit function.
c. What is the profit for selling 10,000 PDA's?
This question is from textbook Applied College Algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A manufacturer's selling price for a personal digit assistant (PDA) is given by p(x) = 125 - (x/500), where x is the number of PDA's sold and p(x) is the price per PDA in dollars.
a. Write the revenue r as a function of x.
Revenue = price*(# of items sold)
R = x(125- (x/500)= 125x-(x^2/500)
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b. If the cost to produce x PDA's is given by c(x) = 300 + 50x - 0.001x^2, find the profit function.
Profit = Revenue- Cost
P=[125x-(2/1000)x^2)]-[300+50x-0.001x^2]
P=-300+75x-(1/1000)x^2
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c. What is the profit for selling 10,000 PDA's?
P(10000)= 300 +75(10000)-(1/1000)(10,000)^2
P(10000)= 300+750000-100000
P(10000)= $650,300
Cheers,
Stan H.
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