Suppose that in a monopoly market, the demand function for a product is p = 160 0.20x and the revenue function is R = px, where x is the number of units sold and p is the price per unit (in dollars).Form the revenue function R(x).R(x) =Find the number of units that must be sold to maximize revenue.X =Find the price of the product (in dollars) that will maximize revenue.$Need Help? Read It

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Answered: Suppose that in a monopoly market, the…

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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Now suppose in a competitive market the demand function is p+1200-2x and the supply function is p =200+2x. Suppose a firms average cost is C(X) =100/x +150 +x. Find the number x to make, to maximize profit. how much is that maximim profit?
Suppose a company has fixed costs of $1800 and variable costs per unit of x + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600- - dollars per unit. 8 (a) Find the break-even points. (Enter your answers as a comma-separated list.) X = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $
The demand function for a good is given by the equation P = a − bQ while the totalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants.(a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximized.
A firm's demand function for a good is given by D: P= 100-2Q and their total cost function is given by TC = 300+8Q. Obtain an expression for total revenue in terms of Q. * TR= 100 -2Q TR= -2Q² + 92Q – 300 Option 3 TR=100Q – 2Q² Option 4 O TR=(100/Q) - 2
Suppose that the marginal cost to produce backpacks at a production level of x backpacks is 5x4 + 2x + 3 dollars per backpack, and the cost of producing 1 backpack is $15. Find the cost function C (x) .
The demand function for a manufacturer's product is p = f(q) = -0.19q+456, where p is the price (in dollars) per unit when q units are demanded (per day). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue. What quantity will maximize the revenue? = units q=
Suppose demand is given by p = 1600 − x. Find the maximum revenue.
Suppose that the demand function for Brand X is P = 360 - 50Qd. Show whether going from 3 to 4 units is elastic or inelastic.
The demand function for a good is given by the equation P = a − bQ while the totalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants.(a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximised.
Please derive the demand function and analyze thefeatures of function elements of a and b
If the demand and supply functions for a product are p=800-2q and p=100+0.5q, repectively, find the tax per unit t that will maximize the tax revenue T = t * q.
The monthly demand function for a product sold by a monopoly is p=860-1/3x2 dollars, and the average cost is c=900+x2 dollars.production is limited to 1000 units and x is in hundred units. (a) Find the quanity (in hundreds of units) that will give maximum profits. (b) Find the maximum profit. (Round your answers to the nearest cent)

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