QuestionSuppose that a price-demand function is given byP(x) = 100 +10x – 4a?.-Which of the following gives R'(x), the marginal revenue function?

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Answered: Question Suppose that a price-demand…

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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A manufacturer has total cost function C(x) = 45000 + 100x + x³ (in dollars) and revenue function R(x) = 7903x (in dollars), where x is the production level (or # of items.) A. Find and simplify the profit function, P(x). P(x) = B. Find the derivative of the profit function (i.e. the Marginal Profit function.) P'(x) -3x² +7803 X = = -x³ +7803x - 45000 C. What level of production will maximize profit? 51 (Round to the nearest whole number if needed.) D. What is the maximum profit? Maximum Profit: $ (Round to the nearest dollar if needed.) Part 2 of 4 Part 3 of 4 Part 4 of 4
An individuals utility function is given by U = 900x₁ + 500x2 + 6x₁x2x²-x²2/2, when the weekly amount of leisure is X1 140 and earned income is ₂ = 800 answer the following: - 1. The marginal utility of ₁ is 2. The marginal utility of x2 is 3. Use the small increments formula to estimate the change in the utility when ₁ decreases by 1 and 2 increases by 4. The change = 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a. and not, for a decimal point.
P(x)=80x-0.3x^2-280 evaluate the marginal profit P'(200)=?
The marginal reenue of a certain commodity by R'(q)=3√q If the total reveune from 9 unit is $60 what is the expression of the revenue function R(q)=?
The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no fixed costs to consider. What is the total profit realized from producing 10 chairs?
2. A student named Light happens to know that the total cost of producing a boxes x² of potato chips is given by C'(x) = +13300x + 5000 yen. The price-demand 100 function for a boxes of potato chips is p(x) = 17500 yen. Use marginals 100 to approximate the additional profit when the number of boxes of potato chips is increased from 50 to 51 boxes.

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Question Suppose that a price-demand function is given by P(x) = 100 +10x – 4a?. - Which of the following gives R'(x), the marginal revenue function?