Cathy sells hand sanitizers in a small town. Daily sanitizer demand equal Q(P)=300-25P Where Q is the market output and p is market price Cost of bottling and distributing is C(q)=4q Suppose cathy is the only seller of sanitizer, what price should cathy charge? What profit does she earn? Suppose dom also produces hand sanitizer in town, and cathy and domm both simultaneously choose price of hand sanitizer, consumers have perfect information. Derive the reaction functions for cathy and domm What is the Nash equilibrium for this market?

Cathy sells hand sanitizers in a small town. Daily sanitizer demand equal Q(P)=300-25P Where Q is the market output and p is market price Cost of bottling and distributing is C(q)=4q Suppose cathy is the only seller of sanitizer, what price should cathy charge? What profit does she earn? Suppose dom also produces hand sanitizer in town, and cathy and domm both simultaneously choose price of hand sanitizer, consumers have perfect information. Derive the reaction functions for cathy and domm What is the Nash equilibrium for this market?

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter14: Indirect Price Discrimination

Section: Chapter Questions

Problem 14.6IP

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Aidan and Celina are the only sellers of jack russell terrier (JRT) inAntigua. Celina chooses her profit maximizing number of JRTs to sell, q1, based on the number of JRT's that she expects Aidan to sell. Aidan knows how Celina will react and chooses the number of JRTs that she herself will sell, q2, aftertaking this information into account. The inverse demand function for JRTs isP(q1+ q2) = 2,000 - 2(q1 + q2). It costs $400 to raise a JRT to sell. (a)Explain in detail what type of competitors are Aidan and Celina. (b) If Celina expects Aidan to sell q2 JRTs, what will her own marginal revenue be if she herself sells q1 JRTs? (c) What is Celina's reaction function, R(q2)?(d) Now if Aidan sells q2 JRTs, what is the total number of JRT's that will be sold. (e) What will be the market price as a function of q2 only? (f) What is Aidan's marginal revenue as a function of q2 only? (g) How many JRTs will Aidan sell? (h) How many JRTs will Celina sell? (i)
Exercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by q = 31 -0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following the scenario: iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate the surplus of the consumer, the surplus the producer and represent graphically
Exercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by q = 31 -0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following the scenario: iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate, for the 4 scenarios proposed (i) (ii) (iii) and (iv), the surplus of the consumer, the surplus the producer, represent graphically and indicate: a) Which scenario is the most…
Please sloved it carefully and with explaniation Carl and Simon are the only sellers of pumpkins at the market, where the total demand function for pumpkins is q =3 ,200−1,600p. The total number of pumpkins sold at the market is q = qC + qS, where qC is the number that Carl sells, qS is the number that Simon sells. The cost of producing pumpkins for each farmer is $.50 per pumpkin; the fixed costs are zero. .a. Find the Cournot equilibrium price and quantities. .b. Find the Bertrand equilibrium price and quantities. . .c. Suppose now that every spring the snow thaws off of Carl’s pumpkin field a week before it thaws off of Simon’s. Therefore, Carl can plant his pumpkins one week earlier than Simon while predicting Simon’s choice based on the previous year information. Simon observes Carl’s choice and chooses how much pumpkin to plant. Find the new equilibrium price and quantities. .d. Compare the quantities and prices in parts a, b, and c. Rank these outcomes according to Pareto…
itle A reliable 15-year-old babysitter can be a price maker within her own neighborhood. Suppose that th Description A reliable 15-year-old babysitter can be a price maker within her own neighborhood. Suppose that this babysitter wishes to implement a Multipart Pricing Plan. Customers who use her services less than L hours per month will pay a high price of PH dollars per hour. Customers who use her services more than L hours per month will still pay PH dollars for the first L hours, but for any additional hours they can then pay the lower price PL dollars per hour which she will generously set equal to her marginal cost. Assume that market demand is QD = 60 – 10P and her total costs are C = 3Q; so PL = $3 per hour. If she set her high price at $4 per hour, would her customers accept a limit of L = 24 hours per month in order to use the remainder of her services at a price of $3 an hour? Provide a labelled diagram and briefly explain. Suppose that this talented babysitter was…
Duck Donuts sells plain and premium donuts. Premium donuts are plain donuts with special toppings. Demand for plain (PL) donuts is: PPL = 3 - 0.2QPL and Demand for premium (PR) donuts is: PPR = 4.4 - 0.4QPR The marginal cost for each is: MCPL = 0.20 MCPR = 0.40 Which of the following statements is true? a.Plain donuts generate more Total Revenue than premium donuts b.More premium donuts will sell than plain donuts c.Only premium donuts should be sold d.Only plain donuts should be sold e.Premium donuts generate more Total Profit than plain donuts
A golf club’s owner has commissioned a market study that estimates the average customer’s monthly demand curve for playing 18-hole golf game to be Q=50 – 0.5P, where Q stands for the number of 18-hole golf game, and P is the green fee. The marginal cost is given by MC=20. (1) Under two-part pricing strategy, what is the optimal amount of green fee to charge for one round of 18-hole golf game? (2) Under two-part pricing strategy, what is the optimal amount of membership due? (3) Under two-part pricing strategy, what is the size of the profit obtained from the average customer?
You make delicious cupcakes that you mail to customers across the country. Your cupcakes are so unique and special that you have a great deal of pricing power. Your customers have identical demand curves for your cupcakes, and a representative customer’s demand curve is shown below. (It’s not needed, but the demand curve equation is P=5-0.2Q or Q=25-5P.) Suppose your MC=$1/cupcake, whether you produce lots or just a few cupcakes. To keep things simple, suppose there are no fixed costs, so FC=0. a) Acting as a monopolist, show the standard pricing analysis on the graph below that identifies your profit-mamximing price and quantity for your representative customer. Shade areas representing your profit and CS. (PS and profit are the same here since FC=0). b) Suppose you offer a quantity discount: first 10 cupcakes at $3 each and any cupcakes over 10 are offered at a discounted price. What discount price will maximize your profit? Show this quantity discount arrangement on your graph…
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Aidan and Celina are the only sellers of jack russell terrier (JRT) inAntigua. Celina chooses her profit maximizing number of JRTs to sell, q1, basedon the number of JRTs that she expects Aidan to sell. Aidan knows how Celinawill react and chooses the number of JRTs that she herself will sell, q2, aftertaking this information into account. The inverse demand function for JRTs isP(q1 + q2) = 2, 000 − 2(q1 + q2). It costs $400 to raise a JRT to sell.(a) Explain in detail what type of competitors are Aidan and Celina.(b) If Celina expects Aidan to sell q2 JRTs, what will her ownmarginal revenue be if she herself sells q1 JRTs?(c) What is Celina’s reaction function, R(q2)?(d) Now if Aidan sells q2 JRTs, what is the total number of JRTsthat will be sold?(e) What will be the market price as a function of q2 only?(f) What is Aidan’s marginal revenue as a function of q2 only?(g) How many JRTs will Aidan sell?(h) How many JRTs will Celina sell?(i) What will be the industry price? ANSWER…
Aidan and Celina are the only sellers of jack russell terrier (JRT) inAntigua. Celina chooses her profit maximizing number of JRTs to sell, q1, basedon the number of JRTs that she expects Aidan to sell. Aidan knows how Celinawill react and chooses the number of JRTs that she herself will sell, q2, aftertaking this information into account. The inverse demand function for JRTs isP(q1 + q2) = 2, 000 − 2(q1 + q2). It costs $400 to raise a JRT to sell.(a) Explain in detail what type of competitors are Aidan and Celina.(b) If Celina expects Aidan to sell q2 JRTs, what will her ownmarginal revenue be if she herself sells q1 JRTs?(c) What is Celina’s reaction function, R(q2)?(d) Now if Aidan sells q2 JRTs, what is the total number of JRTsthat will be sold?(e) What will be the market price as a function of q2 only?(f) What is Aidan’s marginal revenue as a function of q2 only?(g) How many JRTs will Aidan sell?(h) How many JRTs will Celina sell?(i) What will be the industry price?
Suppose a firm has constant costs of production of $10 (MC = ATC = $10) and there are two groups of consumers each with different willingness to pay. There are 400 students each with a willingness to pay of $15 and there are 800 adults each with a willingness to pay of $25. If the firm price discriminates, then the firm's profit will be _____. Question 28 options: a $8,000 b $12,000 c $14,000 d none of the above