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 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
Section4.4: Derivatives Of Exponential Functions
Problem 56E
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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.)
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.

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