. Exercise #3. Suppose the demand for goods 1 and 2 are respectively q1 = 12-p₁ + P₂/2 and q2 = 12-p₂ + p₁/2. No costs are incurred to produce goods 1 and 2. Q12) Are the products A) Substitutes - B) Complements • Q13) Suppose monopoly 1 produces good 1 and monopoly 2 produces good 2. Determine the profit maximizing price set by monopoly 1. . Q14) Suppose a single monopoly produces both goods. Determine the profit maximizing price for good 1.
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- Define natural monopoly. Describe the two problems that arise when regulators tell a natural monopoly that it must set a price equal to marginal cost. You consume only soda and pizza. One day, the price of soda goes up, the price of pizza goes down, and you are just as happy as you were before the price changes. Illustrate this situation on a graph. How does your consumption of the two goods change? How does your response depend on income and substitution effects? Can you afford the bundle of soda and pizza you consumed before the price changes? Draw the indifference curve for someone deciding how to allocate time between work and leisure. Suppose the wage increases. Is it possible that the person’s consumption would fall? Is this plausible? Discuss. If a consumer does not buy less of a commodity when his income rises, then he will surely buy less when the price of the commodity rises. Explain and illustrate with graph using income effect and substitution effect Under what…2. A market analysis employed by the "Sad Student Company" reveals that the number of lots of the game named "Handsome Killer: Revenge of the Teacher" ordered by the wholesalers when the game is offered at a price of dollars per lot is given by the formula: p=1500 – 2.5q a) Find the company's total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing the revenue as a function of price rather than of quantityQuestion 5: Jimmy has a room that overlooks, from some distance, a major league baseball stadium. He decides to rent a telescope for $50 a week and charge his friends and classmates to use it to peep at the game for 30 seconds. He can act as a monopolist for renting out "peeps". For each person who takes a 30 second peep, it costs Jimmy $.20 to clean the eyepiece. Jimmy believes he has the following demand for his service: Price of a Peep $1.20 Quantity of peeps demanded 1.00 90 100 150 200 250 300 70 60 50 350 40 30 400 450 20 10 500 550 a) For each price, calculate the total revenue from selling peeps and themarginal revenue per peep. Price Quantity TR MR $1.20 100 90 100 150 200 70 250 60 300 350 50 40 30 400 450 20 500 10 550 b) At what quantity will Jimmy's profit be maximized? What price will he charge? What will his total profit be? c) Jimmy's landlady complains about all the visitors coming into the building and tells Jimmy to stop selling peeps. Jimmy discovers, though, if he…
- 7. A monopoly firm faces a demand curve given by 2(P) = 40 – 2p. The firm has constant MC=$12. (A) Find the firm's marginal revenue and use this to find the firm's profit-maximizing output and price. Draw a diagram. Hint: first figure out how express the firm's total revenue in terms of Q. Then if you know calculus, take the derivative of this expression with respect to Q to find marginal revenue. If you don't know calculus, recall that for a linear demand curve, (1) the slope of the marginal revenue curve is twice (in absolute value) the slope of the demand curve; and (2) the marginal revenue curve intersects the vertical (price) axis at the same point as the demand curve; and (3) the marginal revenue curve hits the quantity axis at half the distance of the demand curve. (B) Find the price elasticity of demand at the profit-maximizing output and price. Is demand elastic?1. Calculate the profit-maximizing quantity and price for the non-student market. (attached Figure A: Non-Students) 2. Calculate the profit-maximizing quantity and price for the student market. (attached Figure B: Students) 3. Calculate the profit if the firm charges both the non-students and students the same price of $20. (attached Figure A: Non-Students and Figure B: Students) 4. Calculate the profit if the monopoly firm perfectly price discriminates. (attached Figure A: Non-Students and Figure B: Students)5) Suppose a monopoly produces film and cameras. Consumers demand pictures, which require film and one camera. Two different types of consumers have the following demand for film, qà = 100 - 10p and q = 80 - 10p. The monopoly cannot price discriminate in the market for film or the market for cameras, but it can bundle the products. The monopoly produces film at a constant marginal cost of $1 per roll. What price will the monopoly set for film and for cameras?
- Following information shows that a firm offering a good at different prices to groups of consumers with different levels of willingness to pay. Inverse Demand for movies: P1 = 20 – 4Q1 Inverse Demand for students: P2 = 10 – Q2 MC = 4Q LKR /ticket (a) What price and quantity and maximizes profits if the firm charges each market? (b) Demonstrate that charging different prices for the two groups results in higher profits than charging the same price for everyone. (c) Graph the demand curves, the marginal revenue curves, the marginal cost curve and highlight the equilibrium.3. A firm is considering bidding for the franchise to sell cola and hot dogs at a baseball stadium. It estimates the demand functions for cola and hot dogs respectively as De=20-4pc-PH DH = 15-Pc-5PH where De is demand for cola in thousands (of cans), DH is demand for hot dogs in thousands, pc is the price of a can of cola in dollars, and PH is the price of a hot dog. The unit cost of supplying a hot dog is constant at $0.1, and the unit cost of a can of cola is likewise constant at $0.5. (a) Find the upper limit to the amount the firm would bid for the franchise.Draw the graph. If the monopoly is a price-discriminating monopoly charging some customers P1= $950 and other customers P2=$400, then: 1. At the price P1= $950, the monopoly will sell a quantity Q1 = ______ 2. At the price P2= $400, the monopoly will sell a quantity Q2 = ______. (Obs: calculation required here!)3. Total quantity sold at both prices is Q3 = Q1 + Q2 = ___________. 4. The profit earned from selling the quantity Q1 at P1 is Profit1 = ____________________(identify the area on the graph and calculate it).5. The profit earned from selling the quantity Q2 at P2 is Profit2= ____________________(identify the area on the graph and calculate it).6. The total profit earned by the price discriminating monopolist is Profit = Profit1 + Profit2 = _______.
- Suppose a monopoly produces commercial cameras and film. Pictures require film and one camera. Two different types of consumers have the following demand for film: and QA = 100 -p QB = 120-p. The monopoly cannot price discriminate in the market for film or the market for cameras, but it can bundle the products. The monopoly produces film at a constant marginal cost of $20 per cartridge. What price will the monopoly set for film and for cameras?In British Columbia, Canada a company named after Tim Hortons runs a monopoly on a sweet snack called Timbits! Suppose the demand for Timbits is P=90-Q and the cost function is C-Q How much would the consumer surplus, producer surplus and DWL be in case Tim Hortons a single-price monopoly? Suppose Tim Hortons could install a device in its premises that could immediately 11) predict the willingness to pay of every unsuspecting customer entering its franchise premises and charge them that corresponding amount! Additionally, suppose they could also stop resale of products, and thus become a first degree price discriminatıng monopoly. How much would the consumer surplus, producer surplus and DWL be in this case?9. The kinked demand curve Wilke is a manufacturer in the oligopolistically competitive market for footballs. Two other manufacturers, Rawlding and Spaldon, compete with Wilke for football consumers. Wilke faces the kinked demand curve for footballs depicted on the graph. Initially, Wilke charges $30 per football, producing and selling 7 million footballs per year. PRICE (DOLLARS PER BALL) 36 35 34 33 32 31 30 29 28 27 28 5 в 7 8 FOOTBALLS (Millions of balls) 9 10 ? As an oligopolist, Wilke is a price maker. If Wilke raises the price of its football from $30 to $32 per ball, the quantity of Wilke footballs demanded million footballs per year. If Wilke reduces the price of its football from $30 to $28 per ball, the quantity of footballs demanded million footballs per year. (Hint: Mouse over the points on the graph to see their coordinates.) by by If Wilke lowers the price of its football below $30, the kinked demand curve model suggests that Rawlding and Spaldon will respond by