If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 157 – 10 a. Find an expression for the total revenue from the sale of x thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue. а. R(x) 3D b. The x-value that leads to the maximum revenue is c. The maximum revenue, in dollars, is $

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 157 – 10 a. Find an expression for the total revenue from the sale of x thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue. а. R(x) 3D b. The x-value that leads to the maximum revenue is c. The maximum revenue, in dollars, is $

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter14: Monopoly

Section: Chapter Questions

Problem 10PA

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P Q $156.00 9344 $151.32 10040 $146.64 10544 $141.96 11047 $137.28 11483 $127.92 11691 $123.24 11753 A. Use your first demand function to determine an equation for TR and MR as a function of Q, and create a graph of P and MR on the vertical and Q on the horizontal axis. B. What is the total-revenue maximizing price and quantity, and how much revenue is earned there? (Round your price to the nearest cent, your quantity to the nearest whole unit, and your TR to the nearest dollar.) Compare that to the TR when P= $127.92 and P= $149.00
In a small college town there is only one movie theater. In a given month, if the theater is open, the owners have to pay a fixed amount of $6,000 for the films, ushers, etc., regardless of how many people come to the movies. For simplicity, assume that if the theater is closed, its costs are zero. The demand function for movie tickets in the town is characterized by ??= 45−QT/60 a. Find the profit-maximizing price and quantity of movie tickets, and indicate them on the graph above. How much would the theater make in profits? b. Suppose the local government implements a property tax, so that each month the theater now must pay a lump sum tax of $700. What will be the price and quantity of movie tickets under this tax?
There are two types of consumers in Melbourne: students and non-students. The student population is 10, and each student's demand of printing paper is Qs, = 1-p, for p<1. The non-student population is 40, and each non-student's demand of printing paper is Qa =3-p. for p <3. Suppose OfficeMax is the only seller of printing paper in Melboume Assume zero production cost. a. Suppose OfficeMax offers a student discount, d, so students only pay d*p and non-students pay the full price, What are the profit maximizing price p and discount d? b. Suppose OfficeMax cannot offer student discounts, and every customer has to pay the same price p. What is the total demand if p 1.5? What is the total demand if p=0.5? c. Suppose OfficeMax cannot offer student discounts, and every customer has to pay the same price p. Derive the aggregate demand curve (for both students and non-students), and illustrate it in a diagram.
There are two types of consumers in Melbourne: students and non-students. The student population is 10, and each student's demand of printing paper is Qs, = 1-p, for p<1. The non-student population is 40, and each non-student's demand of printing paper is Qa =3-p. for p <3. Suppose OfficeMax is the only seller of printing paper in Melboume Assume zero production cost. a. Suppose OfficeMax offers a student discount, d, so students only pay d*p and non-students pay the full price, What are the profit maximizing price p and discount d? b. What is the deadweight loss in Question 2.1? What is the deadweight loss in part a? c. The monopolist OfficeMax claims that the student discount improves social welfare Is it true? Explain why it is (not) true
Suppose in the market for tickets, Demand is given by Qd=100,000-100P. Suppose producers can practice 1st degree price discrimination. What will the consumer surplus be?
the price in p (in dollars) and the quantity in q sold of a certain product obey the equation q=800-20p a express the revenue R as a function of q b. what is the revenue if 20 units are sold ? c. what quantity q maximises revenue ? what is the maximum revenue ? d. what price should the company charge to maximize revenue e. what price should the company charge to earn at least $3500?
A discount shoe store always runs a ’buy one, get one free (limit one free pair per customer)’ campaign. A customer asked a clerk, if he would sell her one pair for half price. The clerk answered, ”I’m sorry, I can’t do that.” but when the customer decided to leave the store, the clerk hastily offered, “However, I think I can give you a 40% discount on any pair in the store.” Assuming the consumer has $200 to spend on shoes (X) or all other goods (Y ), and that shoes cost $100 per pair: a. Illustrate the consumer’s opportunity set with the ”buy one, get one free” deal and with a 50 percent discount. b. Why was the 40 percent discount offered only after the consumer rejected the ”buy one, get one free” deal and started to leave the store? c. Why was the clerk willing to offer a ”buy one, get one free” deal, but unwilling to sell a pair of shoes for half price?
There are two types of consumers in Melbourne: students and non-students. The student population is 10, and each student's demand of printing paper is Qs, = 1-p, for p<1. The non-student population is 40, and each non-student's demand of printing paper is Qa =3-p. for p <3. Suppose OfficeMax is the only seller of printing paper in Melboume Assume zero production cost. a. OfficeMax introduces printing paper in smaller packages targeting the students. The non-students are willing to pay 5 for a smaller package and 7 for a standard package, and the students are willing to pay 3 for a smaller package and 4 for a standard package. If a consumer does not purchase, her utility is zero. Find all the prices, Ps, for a smaller package and Pn, for a standard package, so that the students choose the smaller packages and the non-students choose the standard ones. b. What is the profit maximizing prices Ps, and Pn? Given those prices, what is a student's utility from purchasing a smaller…
Alex owns a mineral water spring that provides him with an unlimited supply of water at no cost. He can bottle the water at a cost of $2 per litre. Alex's neighbour, Scrooge, found a mineral spring of his own, that provides him with the same water quality as that of Alex. It also costs him $2 per litre to get his water out of the ground and bottle it. The inverse demand curve for mineral water is given by P(Q)=20−0.2Q, where P is the price per litre and Q is the number of litres sold. How many litres will each of them sell in the Cournot equilibrium?
1.) GM’s Food Shops has completed a study of weekly demand for its “new-fashioned” tacos in 53 regional markets. The study revealed that where Q is the number of tacos sold per store per week, A is the level of local advertising expenditure, Pop denotes the local population (in thousands), and Pr is the average taco price of local competitors. For the typical GM’s outlet, P = P1.50, A = P1,000, Pop = 40, and Pr = P1. Q = 400 - 1,200P + 0.8A + 55Pop + 800Pr Estimate the weekly sales for the typical GM’s outlet. Determine the equilibrium price and equilibrium quantity, if supply is Qs = 700 + 1,200P considering the general demand function of GM’s outlet Should GM raise its taco prices? Why or why not?
The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q p = − 800 20 and 0 40   p (i) Express the revenue R as a function of q. (ii) What is the revenue if 20 units are sold? (iii) What quantity q maximizes revenue? What is the maximum revenue? (iv) What price should the company charge to maximize revenue? (v) What price should the company charge to earn at least $3500 in revenue? Please answer with step by step process
1) The quantities demanded, q1 and q2, of two products depend on their unit prices, p1 and p2, as follows q1 = 135 − 2p1 − p2, q2 = 205 − p1 − 3p2. The total revenue is defined as R = q1p1 + q2p2. A. How should the prices be set to generate the maximum possible revenue? Apply the Second Derivative Test to show that your answer yields the maximum and not the minimum revenue. B. What is the maximum possible revenue and what are the corresponding values of q1 and q2? 2) Find the maximum and minimum values of the function f(x, y, z) = ax + by + cz, where a, b, c are three positive numbers, on the unit sphere x^2 + y^2 + z^2 = 1.