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- Spike the Bulldog is the only seller of Zagopoly board games in Spokane. The inverse demand curve for this game is given by P = 40 – 0.5Q, where Q is in hundreds of games per month. Spike's marginal cost of producing board games is 7 + 0.1Q. a. If Spike cannot price-discriminate, what is his profit-maximizing level of output? What is his profit-maximizing price? b. How much consumer surplus will buyers of the board game receive? How much producer surplus will end up in Spike's pockets? How much deadweight loss is created by the board game monopoly? c. Suppose Spike is a magnificent salesman, able to discern perfectly his customers' willingness to pay. If he leverages this information to begin perfectly price discriminating, how many board games will he sell? d. How much surplus will buyers receive from a perfectly price- discriminating Spike? How much producer surplus will Spike capture? What will the deadweight loss due to monopoly be?Suppose PharmaCo has developed a vaccine for a contagious disease and currently holds a patent on its vaccine. It has no fixed costs, and the marginal cost of each vaccine is $20 per unit. Suppose the daily market demand for the vaccine is: QD = 400 – 2P a. Write down the equation for PharmaCo's marginal revenue curve: MR = b. Solve for PharmaCo's profit-maximizing quantity and price: Qmax = and Pmax = $ c. What is the maximum daily profit PharmaCo can make? Profit = $ d. Calculate the daily deadweight loss associated with PharmaCo's monopoly power. DWL =Consider the following problem: Demand: q = 100-p Retailer: marginal cost of selling r = 10 per unit Manufacturer: marginal cost of producing = 40 per unit Neither firm faces any competitor Suppose now that the retailer and the manufacturer are separate firms. Write down the profit function of the manufacturer if it sells to the retailer at w. You solved for the quantity the manufacturer will sell a minute ago, so you can use that in the profit function, and then you will have a profit function for the manufacturer that does not have p, but only has w in it. Solve for the optimal w for the manufacturer to charge and calculate the quantitysold under that w.
- Imagine that the cell-phone market is made up of one large firm that leads the industry and sets its own price first, while smaller firms in the industry follow. There are 20 such smaller firms, each with a supply function of q; = 67.50 + for i = 1,2, ..., 20 firms, while pis the per-unit price. Total market demand for cell phones is given by the function Q = 6, 700.00 – p. If the cost function for the leading firm is CL(qL) = 109L, calculate the following values: %3D Leading firm's production: q1 = (Round to two decimals if necessary.) Total follower firm production: qF = (Round to two decimals if necessary.) Equilibrium price: p = $ (Round to two decimals if necessary.)A new restaurant - Uovo - has just opened in West L.A. It is serving the upscale market, with truly outstanding pasta that is flown in overnight from Bologna, Italy. Uovo offers a fixed-price menu with an appetizer, three dishes of pasta, and a delicious tiramisu for dessert. The restaurant faces the following demand function: Q = 500 - 4P where Q is the number of guests per day. The marginal cost is constant at $45 per customer (including expenses for ingredients and personnel). The restaurant is paying a rent of $1,000 per day. What is the profit-maximizing number of guests that Uovo should serve each day, and what price should Uovo charge to maximize profit? What is the elasticity of demand at the optimal price and quantity? Is demand elastic or inelastic at this point? From what we learned in class, make sense for the restaurant to operate in this area of the demand curve (elastic/inelastic part)? 3 4. What is the profit of the restaurant at the optimal price and quantity, and what…You are managing a firm with market power, and you think the price elasticity of demand for your product is between 1.3 and 1.5. You estimate that your marginal cost is between $55 and $70. The price that you should set would range between $ and $. (Round your answers to two decimal places.) If you refine your estimate of the marginal cost to $80, the price you should set would now range between $ and $ (Round your answers to two decimal places.)
- Andrea's Day Spa began to offer a relaxing aromatherapy treatment. The firm asks you how much to charge to maximize profits. The demand curve for the treatments is given by the first two columns in the following table; its total costs are given in the third column. For each level of output, calculate total revenue, marginal revenue, average cost, and marginal cost. What is the profit-maximizing level of output for the treatments and how much will the firm earn in profits? Price $25.00 0 $24.00 $23.00 Quantity TC $21.60 10 $22.50 30 $21.20 20 $22.00 40 50 60 $130 $275 $435 $610 $800 $1,005 $1,225 Total revenue Marginal revenue Average cost Marginal costA new restaurant – Uovo – has just opened in West L.A. It is serving the upscale market, with truly outstanding pasta that is flown in overnight from Bologna, Italy. Uovo offers a fixed-price menu with appetizer, three dishes of pasta, and a delicious tiramisu for dessert. The restaurant faces the following demand function: Q = 600 - 4P where Q is the number of guests per day. The marginal cost is constant at $50 per customer (including expenses for ingredients and personnel). The restaurant is paying a rent of $2,000 per day. What is the profit-maximizing number of guests that Uovo should serve each day, and what price should Uovo charge to maximize profit? What is the elasticity of demand at the optimal price and quantity? Is demand elastic or inelastic at this point? From what we learned in class, does it make sense for the restaurant to operate in this area of the demand curve (elastic/inelastic part)? What is the profit of the restaurant at the optimal price and quantity, and what…The inverse demand curve facing a resort hotel is during the low season and PL = 100-Q₁ PH = 350 – QH during the high season. The resort's marginal cost is $50 per night in cleaning costs for the room and general maintenance and administration. The resort only has 75 rooms. What is the resort's profit- maximizing peak-load pricing strategy? Illustrate the solution in a diagram. 1.) Using the point drawing tool, indicate the profit-maximizing price during the low season. Label this point 'e' 2.) Using the point drawing tool, indicate the profit-maximizing price during the high season. Label this point 'eH Carefully follow the instructions above, and only draw the required objects. p. $ per night 69 400- 350- 300- 250- 200- a 150- 100- 50- 0- 0 MR D MRH 50 100 150 200 250 300 Q, Rooms per night MG DH 350 400 Q ON
- Suppose Ring Dental is the single supplier at HRM region provide the dental service and has a market demand curve Q = 40 – P; A total cost curve given by the formula: T C = 80 - 20Q + 2Q2 Find the profit-maximizing quantity, price, and profit. Now, suppose Halifax Dental wishes to separate the market and target to two different groups of customers young and old customers, the average cost = marginal cost = 10 for both markets Young customers with elasticity = -5 and DA = 12000 - 65P Old customers with elasticity = -7 and DB = 12000 - 55P What is the profit if Halifax Dental sets the equal price for both markets? (use the average elasticity for equal price) What is the profit if Halifax Dental charges different prices for each market?The diagram at right shows the structure of cost and demand facing a monopolistically competitive firm in the short run. The profit-maximizing output level is units of output. (Enter your response as an integer.) The profit-maximizing price is $. (Enter your response as an integer.) Total revenue is $ (Enter your response as an integer.) Total cost is $. (Enter your response as an integer.) Total profit or loss is $ (Enter your response as an integer and include a negative sign where appropriate.) In the long run, firms will OA. exit, shifting the demand facing the remaining firms to the right until the firms earn an economic profit. B. exit, shifting the demand facing the remaining firms to the right until the firms earn a normal profit. OC. enter, shifting the demand facing the remaining firms to the left until the firms earn a normal profit. OD. enter, shifting the demand facing the remaining firms to the left until the firms earn an economic profit. $14 $13 $12 $11 $7 MR 15 20…Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD: Demand: P=1,200−10QP=1,200−10Q Total Revenue: TR=1,200Q−10Q2TR=1,200Q−10Q2 Marginal Revenue: MR=1,200−20QMR=1,200−20Q Marginal Cost: MC=300+10QMC=300+10Q where QQ indicates the number of copies sold and PP is the price in Ectenian dollars. Complete the following table by finding the price and quantity that maximize the company's profit and the price and quantity that maximize social welfare. Scenario Price Quantity (Dollars) (DVDs) Maximizes the company's profit Maximizes social welfare The deadweight loss from the monopoly is . Suppose, in addition to the foregoing costs, the director of the film has to be paid. The company is considering four options: I. A flat fee of 2,500 Ectenian dollars II. 50 percent of the profits III. 150 Ectenian dollars…
