Question 1. In this question we begin by constructing a competitive market for a good, and then compare theoutcome when supply is controlled by a single-price monopolist. Suppose that the demand for units of somebeverage comes from households with the preferences over units of the beverage (x1) and expenditure on allother goods (x2) represented by the following utility function,U(x1,x2) = 800 In(x1) + x2Each household has an exogenous income of I per period. The second 'good' is referred to as a 'composite'good and is an amount of money. We assume throughout that p2 = 1.(4 marks) Derive a household's ordinary demand functions, x1(P1, 1,1) and x2(P1,1,1) when theyare price-takers in the market for the beverage. How large does the exogenous income need to bein order for the household to enjoy a positive amount of both 'goods'?i)(2 marks) Suppose there are 80 households who participate in the market for the beverage. Half ofthe households have an income of $1200 per period, and the other half have an income of $3000per period. Find the market demand function for the beverage.(3 marks) The market is supplied by two types of firms with the following cost functions,ii)31C^(x) =x² and CB (x) =10,00010,000Find each type of firm's supply function if we treat them as price-takers.(2 marks) If there is one firm of each type, find the market supply function using your answer in iii).iv)v)vi)vii)(2 marks) Calculate the market equilibrium price and quantity.(2 marks) Use your answer in v) to find the profits of each firm type.(3 marks) Illustrate the market equilibrium using a sketch of the supply and demand functions.(3 marks) If the market was instead supplied by a monopolist with the cost functionviii)3C(x) =x²,40,000can you find a profit maximizing choice of output? Explain.3ix)(2 marks) If the monopolist had the cost function C (x)x², but only discrete blocks of40,000thousands of units of the good could be chosen (x0, 1000, 2000, 3000, ...) by the monopolist,what amount would the monopolist supply then? Explain your reasoning.x)(3 marks) Compare the monopolist's profit maximizing choice in ix) to the market equilibrium youfound in v) using a sketch with the market demand and relevant supply-side curves. Identify thedeadweight loss (extent of inefficiency) arising from the monopolist's restriction of supply to themarket.

Question 1. In this question we begin by constructing a competitive market for a good, and then compare the outcome when supply is controlled by a single-price monopolist. Suppose that the demand for units of some beverage comes from households with the preferences over units of the beverage (x1) and expenditure on all other goods (x2) represented by the following utility function,

Question 1. In this question we begin by constructing a competitive market for a good, and then compare the outcome when supply is controlled by a single-price monopolist. Suppose that the demand for units of some beverage comes from households with the preferences over units of the beverage (x1) and expenditure on all other goods (x2) represented by the following utility function,

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

10) The proprietor of the Shaw Music Mania Store calculates the demand equation for a certain brand of CDs to be q = -50p + 2000 , where p is the price it charges per disc and q is the number of discs sold in a day. Determine the maximum total annual revenue and the price at which the max revenue occurs.
Suppose that you are in charge of a toll bridge over the Mississippi River. The demand for bridge crossing Q is given by the following: 2P = 20 - Q a) How many people would cross the bridge if there were no toll? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) b) The toll bridge operator is considering setting up a price of $5.00. At that price, how many people will cross the bridge? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) c) How many people would cross the bridge if the toll is set at $10.00? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT)
Note: Hand written solution should be avoided.
Question #2 Consider the following demand function for frozen dinners where QD is the quantity of frozen dinners demanded per week, P is the price per frozen dinner, PF is the price per fast food meal, Y is the average yearly consumer income, and A is the number of advertisements for frozen dinners. Demand Function for Frozen Dinners: QD = 1,000 – 10P + 20PF – 0.01Y + A Suppose that a frozen dinner sells for $4, a fast food meal sells for $6, average yearly consumer income is $50,000, and that there are 20 advertisements for frozen dinners. Calculate and interpret the income elasticity of demand. Calculate and interpret the cross-price elasticity of demand with respect to fast food meals.
Your firm is considering entering a new territory. From market research, you have obtained the following demand function that explains how your price (P in dollars) and advertising (A in thousands of dollars) choices influence the quantity demanded (Q in thousands of units). Q = 20 - 6P + 2A To enter the new market you plan on running $10,000 worth of ads. The marginal cost of producing your product is $1 per unit. 3a) What is your profit maximizing price, quantity sold, and profit?
Suppose we have two people in the market for good x: Adam, Barbara. Their demand functions are as follows: A = = max {0, 20 2p}, x³ = max{ — XB 0,30 - 2p). Find market demand and the price elasticity of demand at p = 40.
The following graph shows the demand for a good. PRICE (Dollars per unit) 350 225 175 50 0 12 Z --- Y X 42 54 QUANTITY (Units) 84 W Demand ?
Problem Number 8 Economics: Elasticity of Demand for DVD Rentals. The demand for DVD rentals at Klix Video is given by q= D(x) = 120 - 20x, where q is the number of DVDs rented per day at x dollars per rental. Find each of the following. a) The elasticity as a function of x b) The elasticity at x = 2 and at x = c) The value of x for which E(x) = 1. Interpret the meaning of this price. d) The total-revenue function, R(x) = (x) D(x) e) The price x at which total revenue is a maximum 4. Interpret the meaning of these values of the elasticity.
Please do not give solution in image formate thanku. The demand for airline travel is quite sensitive to price. Typically, there is an inverse relationship to between demand and price; when price decreases, demand increases and vice versa. One major airline has found that when the price (p) for a round trip between Chicago and Los Angeles is $600, the demand (D) is 500 passengers per day. When the price is reduced to $400, demand is 1,200 passengers per day. Use a data table to estimate the price that maximizes total revenue.
Demand Factor Initial Value Average American household income $40,000 per year Round trip airfare from Los Angeles (LAX) to Las Vegas (LAS) $200 per round trip Room rate at the Lucky Hotel and Casino, which is near the Big Winner $200 per night Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. Graph Input Tool Market for Big Winner's Hotel Rooms 500 I Price (Dollars per room) 450 200 400 Quantity Demanded (Hotel rooms per night) 300 350 300 250 Demand Factors 200 150 Average Income (Thousands of dollars) Demand 40 100 50 Airfare from LAX to LAS (Dollars per round trip) 200 0 50 100 150 200 250 300 350 400 450 500 QUANTITY (Hotel rooms) Room Rate at Lucky (Dollars per night) 200 PRICE (Dollars per room)
Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demand for these two cameras are as follows (DS = demand for the Sky Eagle, Ps is the selling price of the Sky Eagle, DH is the demand for the Horizon and PH is the selling price of the Horizon): Ds = 230 - 0.5 Ps + 0.38 PH DH = 260 + 0.1 Ps - 0.62 PH The store wishes to determine the selling price that maximizes revenue for these two products. Select the revenue function for these two models. Choose the correct answer below. (i) Ps Ds + PHDH = PH(260 - 0.1 Ps - 0.62 PH) + Ps(230 - 0.5 Ps + 0.38 PH) (ii) Ps Ds - PH DH = Ps(230 - 0.5 Ps + 0.38 PH) - PH(260 - 0.1 Ps - 0.62 PH) (iii) Ps Ds + PH DH = Ps(230 - 0.5 Ps + 0.38 PH) + PH(260 + 0.1 Ps - 0.62 PH) (iv) Ps Ds - PH DH = Ps(230 + 0.5 Ps + 0.38 PH) - PH(260 - 0.1 Ps - 0.62 PH) Answer: Option 3 Find the prices that maximize revenue. Do not round intermediate calculations. If required, round your answers to two decimal places. Optimal Solution:…
The diagram to the right shows a hypothetical demand curve for apples. The slope of this curve is response rounded to two decimal places. Include minus sign if appropriate.) (Enter your Price (dollars per bushel) 100.00 90.00 80.00- 70.00- 60.00- 50.00 40.00 30.00 20.00- 10.00+ Demand Curve for Apples 0.00 0 10 20 30 40 50 60 70 80 90 100 Quantity (bushels per week)