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- Suppose the local electrical utility, a legal monopoly based on economies of scale, was split into four films of equal size, with the idea that eliminating the monopoly would promote competitive pricing of electricity. What do you anticipate would happen to prices?If public utilities are a natural monopoly, what would be the danger in deregulating them?a. A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 60Q + 25,000. Assume that the firm maximizes profits. i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be the new level of production, price, and profit?
- 7. A paint store sells 270 pails of paint per month at a price of $32 each. A customersurvey indicates that for each $1.20 decrease in price, sales will increase by 6pails of paint.(a) Determine the demand, or price, function.(b) Determine the revenue function (using (a)).(c) Determine the marginal revenue function.(d) Solve R’(x) = 0. Interpret the meaning of this value for this situation.(e) What is the price that corresponds to the value found in part (d)?Consider a mature maket with a demand given by P=105.4-10Q The cost of production is given by C=10Q For many years this market has been served by a monopolist. How much profit would the firm lose if it is forced to behave as a competitive firm In all your calculations use numbers with 4 decimal places.A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s costfunction is given by C = 60Q + 25,000. Assume that the firm maximizes profits.i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be thenew level of production, price, and profit?b. The United States currently imports all of its coffee. The annual demand for coffee by U.S.consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions ofpounds) and P is the market price per pound of coffee. World producers can harvest and shipcoffee to U.S. distributors at a constant marginal (= average) cost of $8 per pound. U.S.distributors can in turn distribute coffee for a constant $2 per pound. The U.S. coffee market iscompetitive. Congress is considering a tariff on coffee imports of $2 per pound.i. If there…
- For problems 1 – 4: The Dolan Corporation, a maker of small engines, determines that in 2019 the demand curve for its product is P = 2,000 - 50Q where P is the price (in dollars) of an engine and Q is the number of engines sold per month. To sell 30 engines per month, what price would Dolan have to charge? A.4500 b.1000 c.500 d.450A market analysis employed by the “Sad Student Company” reveals that the number oflots of the game named “Handsome Killer: Revenge of the Teacher” ordered by thewholesalers when the game is offered at a price of dollars per lot is given by the formula:p=1500-2.5qa) Find the company’s total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing therevenue as a function of price rather than of quantity1.Amalgamated Popcorn, Inc. sells bags of flavored gourmet popcorn in a popular mall. As shop owner and operator, you have observed that weekly popcorn sales are well-described by the demand equation: Q = 1,200 -800P + 2.0A, where A denotes advertising weekly spending (in dollars). You are currently charging $1.50 per bag of popcorn (for which the marginal cost is $.75) and spending $500 per week on advertising. a) Compute the store’s price elasticity and advertising elasticity. b) Check whether your current $1.50 price is profit maximizing. If not, determine the store’s optimal quantity and price. c) Should the store consider increasing its advertising spending? Why or why not.
- Lefola limited is the only manufacture of producr G easy in the popa land. It has provided documented levels of demand at certain selling prices for product Geasy which are as follows: Price per unit demand units total costs 7000 0 3000 6000 1 5000 5000 2 8000 4000 3 12000 3000 4 17000 2000 5 23000 1000 6 30000 Using a tabular approach, calculate the marginal revenues and marginal costs for product G-Easy at the different levels of demand, and so determine the sellibg pruce at which lefola limited's profits are maximized.Cesar Rego Computers, a Mississippi chain of computerhardware and software retail outlets, supplies both educationaland commercial customers with memory and storagedevices. It currently faces the following ordering decision relatingto purchases of very high-density disks:D = 36,000 diskss = $25I = 20%Purchase price = $0.85Discount price = $0.82Quantity needed to qualify for the discount = 6,000 disksShould the discount be taken?Assume inverse demand function for game console in an imaginary country is P=1200-4Q and the total cost function is TC=400+4Q2. Government put $120 of specific tax on production. If the market is competitive what is the incidence of tax on consumer? If the market is monopolist what is the incidence of tax on consumer?
