9. A state-owned power company monopolize electricity supply. Its daily variable cost of increasing electricity generation is $8 per unit. It has a constant return on output size over time and its daily marginal cost of electricity generation is $7 per unit. If the daily peak demand Q1 and off-peak demand Q2 in the market are: Q1 = 100 - 2P^(1/2), Q2 = 50 – 5P^(1/3) - where P is the unit price. The peak time is 6 hours, and the off-peak time is 18 hours. What is the optimal generation capacity of the power company during peak time (Q1)? a) 64.00 O b) 72.00 O c) 80.00 O d) 88.00 个 Th
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- 7. A car manufacturer builds both left-hand and right-hand drive cars. It estimates that its costs and the demand faced in each of these respective markets can be modelled by the functions below Р 3D 520 — 30, P, = 720 – 4Q2 100Q1 + 120Q2 + 4Q1Q2 - - TC =Sampson Ltd produces two products that can be produced on either of two machines. Each month, only 5o0 hours of time are available on each machine. The time required to produce each item by hour and machine is: Machine Machine Product 1 Product 2 3 4 Month Month 1 Month 2 Month 1 Demand Demand Price Price Product 1 100 160 $45 $65 $10 Product 2 120 110 $35 The demand and price point for each product that customers are willing to pay are above. The company goal is to maximize revenue from sales from the next two months. Based on the provided information, how many constraints does this problem have excluding the non-negativity constraints?Squeak eClean produces commercial sanitizer used to clean tanker trucks that haul liquid food products such as milk. This sanitizer a commodity like any other and at the wholesale level, there are many domestic and foreign producers that compete vigorously. Suppose you have the following estimated market demand and supply functions for the sanitizer. Qd = 248.08 + 2.2Y - 0.6PC + 1.2 PS - 4P Qs = - 10 + 2P In these equations, Q measures output in gallons per month (in 1,000’s), P is the price per gallon of the sanitizer, Y is annual average household income (in 1,000’s), PC is an index of commodity prices, and PS is the average price per gallon of other types of sanitizer. After gathering the latest data, you find that average household income is $36,400, the current level of the commodity price index is 110.6, and the average price per gallon of other types of sanitizers is $48.50. Find the current equilibrium price and quantity in this market. Find the equilibrium price and…
- 2:03 D 19 ll 37% Marked out of 30 P Flag question Suppose you are a manager of a County government project that is meant to provide rent-regulated housing units in low-income settlements. Using your knowledge of equilibrium, advice the Governor whether this policy will be a а. success. A Monopolist producing and supplying cooking gas to Mombasa city faces the demand b. function. = 8800 – 20P. Its cost function is given by TC = 20Q + 0.05Qʻ. Determine the quantity of cooking gas she will produce and the price she will charge to maximize profits and determine her profit. i. i. Explain how her profits she will affected if regulators forced her to operate like a perfectly competitive firm. ii. Illustrate and compute dead-weight loss and lost consumer surplus associated with her Monopoly operations. B I II II !!!2. The total cost (in thousands of pesos) of producing x HDTVS is C(x) = 50, 000 + 1,000x- -0.5a2 a. Find the cost of producing the 101st HDTV. b. Use the marginal cost to approximate the cost of producing the 101st HDTV. 3. Suppose that for a company producing r face shields per week, the cost (C) and revenue (R) functions are given by C(x) = 5,000 + 2x and R(x) at the rate of 500 face shields per week when production is 2000 face shields per week, find the rate of increase in the profit.(Hint: Profit is revenue minus cost) = 10x – 0.001x2, respectively. If production is increasingForty thousand potential customersof a cable TV franchise are each willing to pay $11/month for HBO and $11/month for Cinemax. Twenty thousand potential customers are willing to pay $20/month for HBO and only $5/month for Cinemax. Assume costs are zero. If the franchise sells the two services in a bundle, it should charge1: $312: $253: $224: $205: $18
- 7. : Monopoly with a competitive fringe Precious Metals Inc. (PMI) is a near-monopoly supplier of iridium. There is also a competitive fringe of iridium producers. Market demand for iridium is represented by the following function: pD (Q) = 400 – 2Q The fringe producers face marginal extraction costs of MC,(qr) = 30 + 0.5qp while PMI has marginal costs of $20/kg. If the competitive fringe is not participating in the market, the marginal revenue of PMI is MR(Q) = 400 – 4Q If the competitive fringe is participating in the market, the marginal revenue of PMI is MR(Q) = 100 – Q Note: Prices are measured in dollars/kilogram ($/kg) and quantity is measured in kilograms (kg) Answer the following questions: a. Calculate the residual demand facing PMI after accounting for the quantity supplied by the competitive fringe Answer the following questions: a. Calculate the residual demand facing PMI after accounting by the competitive fringe the quantity supplied b. Plot the demand and residual…Acme Drug Co. has a patent on the drug A-rene, the annual demand for which can be described by the demand curve: Q = 4500 - 300P. Production of the drug requires an annual fixed cost of $3,000 and a per unit marginal cost of $5. (i) How many units of the drug will Acme produce each year, and what price will it charge, in order to maximize its profits? What will be its annual profits? (ii) Now suppose that the Better Drug Co. has discovered B-rene, a new drug which seems to be identical to A-rene in all its effects. If Better enters the market, competition with Acme will conform to a Cournot duopoly. Better’s costs are identical to those of Acme. What would be the equilibrium outcome of this duopoly? Specifically, how much would each firm produce and what would be the price? How much profit would each firm make? Would Better find it profitable to enter the market? (iii) Would it be in the interests of society as a whole for Better Drug to enter into production? Identify the gainers and…(a) Explain verbally and digramatically why Christmas trees are cheaply sold on Christmas Eve (compared to their intial price) by considering both demand and supply. (b) Assuming zero disposal costs, why is the correct profit maximising price to charge for the unsold trees on Christmas Eve the one at which the elasticity of demand is equal to -1? Illustrate using a diagram. Would the price be lower still if there were some disposal costs that the seller would face to dispose of the unsold trees?
- Given the demand function P 100 - 4Q. For what values of Q is the total revenue TR is 0 ? O a. Q = 0 and Q = 20 O b. Q = 0 and Q = 50 O c. Q = 0 and Q = 40 O d. Q = 0 and Q = 25 !! %3D %3D %3!Problem 3 Squeak eClean produces commercial sanitizer used to clean tanker trucks that haul liquid food products such as milk. This sanitizer a commodity like any other and at the wholesale level, there are many domestic and foreign producers that compete vigorously. Suppose you have the following estimated market demand and supply functions for the sanitizer. Qd=248.08 +2.2Y – 0.6Pc+ 1.2 Ps − 4P Qs = 10 +2P In these equations, Q measures output in gallons per month (in 1,000's), P is the price per gallon of the sanitizer, Y is annual average household income (in 1,000's), Pc is an index of commodity prices, and Ps is the average price per gallon of other types of sanitizer. After gathering the latest data, you find that average household income is $36,400, the current level of the commodity price index is 110.6, and the average price per gallon of other types of sanitizers is $48.50. a. Find the current equilibrium price and quantity in this market. b. Find the equilibrium price and…Pre-mixed concrete is an important input for the construction industry. Concrete cannotbe stored or transported over long distances as it begins to set after only a few hours. Forthis reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—arein a position to compete in the market. Moreover, the capital and regulatory requirementsfor constructing a new concrete plant are substantial, creating an effective barrier to entry.Pre-mixed concrete is regarded as a homogeneous good by the construction industry.Inverse demand in the market has been estimated to be,P = 600 −Q/50,where P represents the price of a cubic metre of concrete in dollars, and Q is the totalnumber of cubic metres of concrete supplied into the market on a given day.At present the three firms appear have identical production costs, with each firm facingfixed costs of $400,000 per day and a marginal cost of $180 per cubic metre.Big Industries and ConCorp estimate that the proposed merger would reduce…