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The profit function for good x is given by P(q) = 200 + 1009 + 30q²-9² where q is the quantity of x sold. (a) Determine the value of q resulting in the largest profit. (b) Calculate the maximum profit. Why might the profit be lower if q is higher than this?

The profit function for good x is given by P(q) = 200 + 1009 + 30q²-9² where q is the quantity of x sold. (a) Determine the value of q resulting in the largest profit. (b) Calculate the maximum profit. Why might the profit be lower if q is higher than this?

Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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The profit function for good x is given by P(q) = 200 + 100q + 30q²-9³ where q is the quantity of x sold. (a) Determine the value of q resulting in the largest profit. (b) Calculate the maximum profit. Why might the profit be lower if q is higher than this?
Transcribed Image Text:The profit function for good x is given by P(q) = 200 + 100q + 30q²-9³ where q is the quantity of x sold. (a) Determine the value of q resulting in the largest profit. (b) Calculate the maximum profit. Why might the profit be lower if q is higher than this?
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