(i) Assuming that each company tries to maximise profits separately, find the equilibrium prices PA and PB. (ii) Find the quantities sold by each company, and the profits for each company.
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- The soluation avilible I believe it is wrong so please solve it carefully 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…A large share of the world supply of diamondscomes from Russia and South Africa. Suppose thatthe marginal cost of mining diamonds is constant at$1,000 per diamond and the demand for diamonds isdescribed by the following schedule:Price Quantity$8,000 5,000 diamonds7,000 6,0006,000 7,0005,000 8,0004,000 9,0003,000 10,0002,000 11,0001,000 12,000a. If there were many suppliers of diamonds, whatwould be the price and quantity?b. If there were only one supplier of diamonds, whatwould be the price and quantity?c. If Russia and South Africa formed a cartel, whatwould be the price and quantity? If the countriessplit the market evenly, what would be SouthAfrica’s production and profit? What wouldhappen to South Africa’s profit if it increased itsproduction by 1,000 while Russia stuck to thecartel agreement?d. Use your answers to part (c) to explain why cartelagreements are often not successful.A computer hardware firm sells both laptop computers and printers. Through the magic oft focus groups, their pricing team determines that they have an equal number of three types of customers, and that these customers' reservation prices are as illustrated in the figure below. Laptop Printer Bundle Customer A Customer B Customer C $750 $1,000 $100 $150 $850 $1,150 $650 Se00 S50 Assume for simplicity the marginal cost of production for laptops and printers is zero. in total? If the firm were to charge only individual prices (not use the bundle price), what prices should it set for its laptops and printers to maximize profil? Assuming for simplicity that the firm has only one customers of each type, how much does it earm To maximize profit using individual prices, the firm should charge a price for laptops of p=0 and a price for printers of (Enter your responses as whole numbers.) In tum, profit isx=$. (Enter your response as a whole number.) After conducting a costly study, an outside…
- Suppose a monopoly market has a demand function in whichquantity demanded depends not only on market price (P) butalso on the amount of advertising the firm does (A, measuredin dollars). The specific form of this function isQ =(20 - P2) (1 + 0.1A - 0.01A2).The monopolistic firm’s cost function is given byC = 10Q + 15 + A.a. Suppose there is no advertising (A = 0). What outputwill the profit-maximizing firm choose? What market price will this yield? What will be the monopoly’sprofits?b. Now let the firm also choose its optimal level of advertising expenditure. In this situation, what output levelwill be chosen? What price will this yield? What will thelevel of advertising be? What are the firm’s profits in thiscase? Hint: This can be worked out most easily by assuming the monopoly chooses the profit-maximizing pricerather than quantity.= 1003P. As- (g) Let demand for car batteries be such that Q sume constant marginal costs of 15. Compute the equilibrium price, quantity, consumer surplus, producer surplus and if rele- vant deadweight loss for: i. A perfectly competitive firm ii. A monopoly iii. Two firms engaged in Cournot Competition. iv. Two firms engaged in Bertrand Competition.A computer hardware firm sells both laptop computers and printers. Through the magic of focus groups, their pricing team determines that they have an equal number of three types of customers, and that these customers' reservation prices are as illustrated in the figure below. Bundle Laptop $700 $950 $600 Printer Customer A $100 $150 $50 $800 $1,100 $650 Customer B Customer C Assume for simplicity the marginal cost of production for laptops and printers is zero. If the firm were to charge only individual prices (not use the bundle price), what prices should it set for its laptops and printers to maximize profit? Assuming for simplicity that the firm has only one customers of each type, how much does it earn in total? To maximize profit using individual prices, the firm should charge a price for laptops of and a price for printers of p=: (Enter your responses as whole numbers.)
- 4. Profit maximization and loss minimization BYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price-discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market. Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss. 4.00 3.50 Monopoly Outcome 3.00 ATC 2.50 Profit 2.00 Loss 1.50 MC 1.00 0.50 MR 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 QUANTITY (Thousands of cans of beer) Suppose that BYOB charges $2.75 per can. Your friend Brian says that since BYOB is a…Amonofoly is Charar terized the average Cost Ac- 0/44 and the margzaa . COst MC =0/2 Where 0 Is the 9uantity Produced, the demand for the monoP0LY good 7s Cl= 10-P. Where P Ts Price the Pair of OPtimai uanETEY and Price of the Profit maximizing mono Poly IsCoke and Pepsi dominate the cola market. Suppose that the marginal cost of making cola is $2. Assume also that the demand for cola is given by the following table: Price $8 7 6 S43N 5 2 1 Quantity 5 cans 6 7 8 9 10 11 12 If Coke was the only supplier of cola, how many bottles of cola would be sold? Type your answer...
- 1. Suppose you are the economic adviser ofa company producing three brands of mobile pnones;Nokia 10, Samsung X and iPhone 7. Suppose further that, your company currently sells 120units of iPhone Z at e800 per unit, 150 units of Samsung X at e800 per unit and 200 units ofNokia 10 at e100 per unit, but in a bid to maximize profit, the company's managing directorproposes an increase in price of Samsung X from e800 to e1000 per unit for which quantitydemanded is anticipated to fall from 150 to 100 units; iPhone Z from e800 to e 1200 per unitfor which quantity demanded is anticipated to fall from 120 to 100 units; and Nokia 10 from100 to 200 per unit for which quantity demanded is expected to fall from 200 to 100 unitsUsing the mid-polint formula. compute the price elasticity of demand for each brand.From your answer in i, what is the type and economic interpretatiom of each brand'sii.value of elasticity.2. Briefly explain any three key features of a Perfect Competitive and a Monopolistic…A computer hardware firm sells both laptop computers and printers. Through the magic of focus groups, their pricing team determines that they have an equal number of three types of customers, and that these customers' reservation prices are as illustrated in the figure below. Laptop $900 $1,000 $650 Bundle $1.000 $1,150 $700 Printer Customer A Customer B $100 $150 $50 Customer C Assume for simplicity the marginal cost of production for laptops and printers is zero. If the firm were to charge only individual prices (not use the bundle price), what prices should it set for its laptops and printers to maximize profit? Assuming for simplicity that the firm has only one customers of each type, how much does it earn in total? To maximize profit using individual prices, the firm should charge a price for laptops of p= and a price for printers of p=The BCY Corporation provides accounting services to a wide variety of customers, most ofwhom have had a business association with BCY for more than five years.BCY's demand is: P = 24,000 – 20Q, and BCY's marginal cost of service is: MC = 40Q.a. If BCY charges a uniform price for a unit of accounting service, Q, what price must itcharge per unit, and how many units must it produce per time period in order to maximizeprofit? Calculate the consumer surplus.b. If BCY could enforce first-degree price discrimination, what would be the lowest pricethat it would charge and how many units would it produce per time period?c. With perfect price discrimination and ignoring any fixed cost, what is total profit andwhat is the amount of consumer surplus?