uppose a company's revenue function is given by R(q) = −q³+330q² and its cost function is given by (q) = 570 + 12g, where g is hundreds of units sold/produced, while R(q) and C(q) are in total dollars f revenue and cost, respectively. ) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your nswer.) MP(q) ) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two mal places.)
uppose a company's revenue function is given by R(q) = −q³+330q² and its cost function is given by (q) = 570 + 12g, where g is hundreds of units sold/produced, while R(q) and C(q) are in total dollars f revenue and cost, respectively. ) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your nswer.) MP(q) ) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two mal places.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:Suppose a company's revenue function is given by R(q) = -q³+330q² and its cost function is given by
C(q) = 570+ 12g, where g is hundreds of units sold/produced, while R(q) and C(q) are in total dollars
of revenue and cost, respectively.
A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your
answer.)
MP(q)
B) How many items (in hundreds) need to be sold to maximize profits?
Answer:
=
hundred units must be sold. (Round to two decimal places.)
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Sorry part C was missing
C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.)
Answer: thousand dollars of maximum profits can be expected.
Solution
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