The daily profit function, in dollars, for selling x cars, at a dealership is P(x) = - 0.006x³ - 0.3 x2 + 700x - 1000. Currently about 50 cars are being sold daily. 17. a) Find the current profit of selling 50 cars daily. b) Find the marginal profit for selling 50 cars daily and interpret the answer. c) Find the profit obtained from selling 51 cars daily and compare the answer to part b). How are the answers related?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CT: Test
Problem 19CT
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The daily profit function, in dollars, for selling x cars, at a dealership is
P(x) = - 0.006x³ - 0.3 x2 + 700x - 1000. Currently about 50 cars are
being sold daily.
17. a) Find the current profit of selling 50 cars daily.
b) Find the marginal profit for selling 50 cars daily and interpret the
answer.
c) Find the profit obtained from selling 51 cars daily and compare the
answer to part b). How are the answers related?
Transcribed Image Text:The daily profit function, in dollars, for selling x cars, at a dealership is P(x) = - 0.006x³ - 0.3 x2 + 700x - 1000. Currently about 50 cars are being sold daily. 17. a) Find the current profit of selling 50 cars daily. b) Find the marginal profit for selling 50 cars daily and interpret the answer. c) Find the profit obtained from selling 51 cars daily and compare the answer to part b). How are the answers related?
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