Let C(x) = 6x + 750 and R(x) = 29x. (a) Write the profit function P(x). P(x) = (b) What is the slope m of the profit function? m = (c) What is the marginal profit MP? MP = (d) Interpret the marginal profit. O This is the smallest number of units that can be sold in order to make a profit. Each additional unit sold decreases the profit by this much. Each additional unit sold increases the profit by this much. The profit is maximized when this many units are sold.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 87CR
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Let C(x) = 6x + 750 and R(x)
(a) Write the profit function P(x).
P(x)
= 29x.
=
(b) What is the slope m of the profit function?
m =
(c) What is the marginal profit MP?
MP =
(d) Interpret the marginal profit.
O This is the smallest number of units that can be sold in order to make a profit.
Each additional unit sold decreases the profit by this much.
Each additional unit sold increases the profit by this much.
O The profit is maximized when this many units are sold.
Transcribed Image Text:Let C(x) = 6x + 750 and R(x) (a) Write the profit function P(x). P(x) = 29x. = (b) What is the slope m of the profit function? m = (c) What is the marginal profit MP? MP = (d) Interpret the marginal profit. O This is the smallest number of units that can be sold in order to make a profit. Each additional unit sold decreases the profit by this much. Each additional unit sold increases the profit by this much. O The profit is maximized when this many units are sold.
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