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Solve the Problem pp And xx , the Quantity of a Certain Product Sold, Obey the Quantity

Question 257

Essay

Solve the problem.
-The price pp and xx , the quantity of a certain product sold, obey the demand equation
p=110x+100,{x0x1000}p = - \frac { 1 } { 10 } x + 100 , \{ x \mid 0 \leq x \leq 1000 \}
a) Express the revenue R as a function of x.
b) What is the revenue if 450 units are sold?
c) Graph the revenue function using a graphing utility.
d) What quantity x maximizes revenue? What is the maximum revenue?
e) What price should the company charge to maximize revenue?

Correct Answer:

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a.blured image
b. R(450) = $24,...

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