A profit-maximizing restaurant in a town has a constant marginal cost of $10 per lunch customer and can sell to two types of customers: retirees and non-retirees. The shop faces a demand by retirees given by QR- 100-4P and a demand by non-retirees given by QN- 110-3P. a. Which price would retirees pay under uniform pricing? b. Which price would retirees pay if the seller could successfully engage in price discrimination?
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- Your manager is only concerned with selling her product for the highest price possible under profit- maximizing conditions. In which of the two markets should she operate? • Market 1: - Demand:Q=100-2P - MarginalCost:MC=15 • Market 2: - Own-PriceElasticity:εQ,P=-2.5Note:Thisimpliestheown-priceelasticityis constant at all points. - MarginalCost:MC=15 a. She should operate in Market 1, as it has the highest profit-maximizing price. b. She should operate in Market 2, as it has the highest profit-maximizing price. c. She is indifferent, as each market has an equal profit-maximizing price.It costs $250 to produce an X-Box. We are trying todetermine the selling price for the X-Box. Prices between$200 and $400 are under consideration, with demand forprices of $200, $250, $350, and $400 given below. SupposeMSFT earns $10 in profit for each game that an X-Boxowner purchases. Determine the optimal price andassociated profit for the case in which an average X-Boxowner buys 10 games. Console Price ($) Demand200 2.00E06250 1.20E06350 6.00E05400 2.00E05Unit cost $250The price elasticity of demand for air travel differs radically from first-class (-1.3) to unrestricted coach (-1.4) to restricted discount coach (-1.8). Given these elasticities, what are the optimal prices (fares) on a cross-country trip with incremental variable costs (marginal costs) equal to $120? MR=Px(1+1/Ed) MC PED OP CLass ($) (Ed) (P*) First Class $120 -1.3 $ Unresticted coach $120 -1.4 $ Restricted Discount $120 -1.8 $
- Assume that you are in an interview session and the panel asks you to give a pricing decision that will maximize company’s interest (revenue maximization). Price Qd Qs 10 80 20 11 75 30 12 70 40 13 65 50 14 60 60 15 55 70 16 50 80 This is demand and supply schedule, estimate the equations, calculate the elasticity, and justify your positions based on your calculations. Based on your demand equation, what price will maximize the revenue and what would be the elasticity at the revenue maximization point.At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price discriminate).Students with Early Classes Students without Early ClassesCoffee $0.70 $0.60Banana $0.50 $1.00The marginal cost of coffee is $0.10. The marginal cost of a banana is $0.40. Is bundling more profitable than selling separately? If so, what price should be charged for the bundle?. UT Sports, a store that sells various types of sports clothing and other sports items, is planning to introduce a new design of World Cup Kits. A consultant has estimated the demand curve to be Q= 8400 – 420 P Where Q is cap sales and P is price. How many KITs could UT sell at $25.2 each? How much would the price have to be to sell 7,560 KITs? Suppose UT were to use the KITs as a promotion. How many KITs could UT give away free? At what price would no KITs be sold? Calculate the point price elasticity of demand at a price of $ 25.2.
- No written by hand solution Suppose that headphones can be produced at a constant marginal cost. Headphone A is priced at $20 and headphone B is priced at $30. (a) If the Lerner index of headphone A divided by the Lerner index of headphone B is 0.5, what is the marginal cost of producing headphones? (b) Using your answer to part ‘a’, what is the elasticity of demand of headphone A? What is the elasticity of demand of headphone B?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…A Las Vegas supermarket bakery must decide how many wedding cakes to prepare for the upcoming weekend. Cakes cost $33 each to make, and they sell for $60 each. Unsold cakes are reducedto half-price on Monday, and typically one-third of those are sold. Any that remain are donated toa nearby senior center. Analysis of recent demand resulted in the following table:Demand 0 1 2 3Probability .15 .35 .30 .20How many cakes should be prepared to maximize expected profit?a. Use the ratio method.b. Use the tabular method (see Table 13.3).
- The price p (in dollars) and the quantity q sold of a certain product obey the demandequationq − 800 - 20P and 0 < p < 40 (answer iv and v) (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?Suppose the own price elasticity of market demand for retail gasoline is -0.9, the Rothschild index is 0.6, and atypical gasoline retailer enjoys sales of $1, 200, 000annually. What is the price elasticity of demand for arepresentative gasoline retailer's product? Instruction:Enter your response rounded to two decimal places. Ifentering a negative number, be sure to use thenegative (-) sign.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.