Answer for these questions D, E, F 4. The price-demand equation and the cost function for the production of table saws are given,respectively, by100p = 2800 –XandC(x) = 11400 + 3x,0

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Answered: Answer for these questions D, E, F

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Answer for these questions D, E, F

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

Answer for these questions D, E, F

4. The price-demand equation and the cost function for the production of table saws are given,
respectively, by
100p = 2800 –X
and
C(x) = 11400 + 3x,
0<x< 2800
where x is the number of saws that can be sold at a price of $p per saw and C(x) is the total cost (in
dollars) of producing x saws.
(A) Find the marginal cost, average cost, and marginal average cost functions.
(B) Express the revenue in terms of x, and find the marginal revenue, average revenue, and marginal
average revenue functions.
(C) Evaluate the marginal revenue at x = 1200 and x = 2100 and interpret the results.
(D) Find the profit, marginal profit, average profit, and marginal average profit functions.
(E) Evaluate the marginal profit at x = 1250 and x = 1600 and interpret the results.
(F) Find the break-even point(s)
(G) Graph R = R(x) and C = C(x) on the same coordinate system; locate regions of profit and loss.

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