Suppose a company has demand function given by q = 760 – 7p and a cost function C(q) = 2400 + 10q. a. At what price the profit is maximized? And graph the quadratic function. b. At what price there will be no profit?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 104E
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Suppose a company has demand function given by q = 70 – 7p and a cost
function C(q) = 24400 + 10q.
a. At what price the profit is maximized? And graph the quadratic function.
b. At what price there will be no profit?
Hint:
Revenue = px q
Where p is price and q is the quantity
profit:
= Revenue - cost
Transcribed Image Text:Suppose a company has demand function given by q = 70 – 7p and a cost function C(q) = 24400 + 10q. a. At what price the profit is maximized? And graph the quadratic function. b. At what price there will be no profit? Hint: Revenue = px q Where p is price and q is the quantity profit: = Revenue - cost
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