Suppose a company's revenue function is given by R(q) = – q° + 390q² and its cost function is given by C(q) = 490 + 18q, where q 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 experssion for the profit function #(q) B) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) C) How many items (in hundreds) need to be sold to maximize profits? (Round your answer to two decimal places.) hundred units must be sold. Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Suppose a company's revenue function is given by R(g) = - q° + 390q² and its cost function is given by
C(q) = 490 + 18q, where q 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 experssion for the profit function
B) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your
answer.)
MP(q)
C) How many items (in hundreds) need to be sold to maximize profits? (Round your answer to two decimal
places.)
Answer:
hundred units must be sold.
Transcribed Image Text:Suppose a company's revenue function is given by R(g) = - q° + 390q² and its cost function is given by C(q) = 490 + 18q, where q 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 experssion for the profit function B) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) C) How many items (in hundreds) need to be sold to maximize profits? (Round your answer to two decimal places.) Answer: hundred units must be sold.
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