Question

Suppose a company's revenue function is given by R(q) = -q^3 + 400q^2 and its cost function is given by C(q) = 390 + 13q, 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 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? (Round your answer to two decimal places.) Answer: hundred units must be sold.

          Suppose a company's revenue function is given by R(q) = -q^3 + 400q^2 and its cost function is given by C(q) = 390 + 13q, 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 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? (Round your answer to two decimal places.)
Answer: hundred units must be sold.

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Suppose a company's revenue function is given by R(q) = -q^3 + 400q^2 and its cost function is given by C(q) = 390 + 13q, 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 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? (Round your answer to two decimal places.)
Answer: hundred units must be sold.

Added by Judy R.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Bcrypt_Sha256$$2B$12$We1Wwocamog01O5I.V2Tkouxdh4Ofnmgpwkor7Leaonfpu0Ubfpua Bcrypt_Sha256$$2B$12$We1Wwocamog01O5I.V2Tkokttmmj7Lscvwvlptp4Rlhbswcdg9.Wy

09/19/2023

Step 1

Given R(q) = 400q and C(q) = 390q + 134, we have: P(q) = 400q - (390q + 134) = 10q - 134. Now, we need to find the marginal profit function, which is the derivative of the profit function with respect to q: MP(q) = \frac{dP(q)}{dq} = \frac{d(10q - Show more…

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Suppose the company's revenue function is given by R(q) = 100q and its cost function is given by C(q) = 390 + 134q, where q is the number of units sold in hundreds, 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? (Round your answer to two decimal places) Answer: hundred units must be sold

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