An industrial production process costs C(q) million dollars to produce q million units; these units then sell for R(q) million dollars.If C(2.1) = 5.3, R(2.1) = 6.8, MC(2.1) = 0.7, and MR(2.1) = 0.8, calculate the following.(a) The profit earned by producing 2.1 million units.The profit is imillion dollars.(b) The approximate change in revenue if production increases from 2.1 to 2.16 million units.The change in revenue is about ithousand dollars.(c) The approximate change in revenue if production decreases from 2.1 to 2.04 million units.The change in revenue is about ithousand dollars.(d) The approximate change in profit in parts (b) and (c).The change in profit in part (b) is about ithousand dollars, and the change in profit in part (c) is aboutithousand dollars.

Answered: Image /qna-images/answer/2cf2d40e-ff18-458d-8b77-9bb124a6ab98.jpg

Answered: An industrial production process costs…

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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China's population in 1980 was 983 million; in 1990, it was 1,154 million. (a) Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round the coefficient of t to seven decimal places.) p(t) = ? (b) The following model represents Africa's population in millions, where t is the number of years after 1990. p(t) = 643e0.0210939t Use this and the model in part (a) to predict when Africa's population will exceed China's. (Round your answer to the nearest year.) Africa's population will have exceeded China's in the year _?__.
Suppose the weekly cost C, in dollars, of eliminating p percent of the pollution from the emissions of a factory is given by the following. C(p) = 5600p/100-p (a) What type of function is this? (multiple choice) A. rational function B. identity function C. linear function D. polynomial function E. power function (b) Given that p represents the percent of pollution removed, what is the domain of C(p)? (Enter your answer using interval notation.) (c) Find C(0). (multiple choice) Interpret its meaning. A. The factory will gain revenue if no pollution is removed. B. There is no cost if no pollution is removed. C. Removing all the pollution will have a large cost. D. Removing all the pollution will have no cost. E. Even if no pollution is removed, there will be some cost. (d) Find the weekly cost (in dollars) of removing 99% of the pollution. $ ?
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