Gert, a monopolist, owns a glass factory where he produces high-quality windows. The machine, which Gert uses for this purpose, costs 5000 DK to operate regardless of how many windows it produces. Furthermore, there is material and electricity costs equivalent to 400 DKK per produced unit. The market demand is characterized by the following function: PD = -200Q +10000 Question A: What is the functional expression for Gert's total revenue (TR), total costs (TC), marginal costs (MC) and marginal revenue (MR)? Question B: What is Gert's optimal price, quantity and profit?
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- he Pear Computer Company just developed a totally revolutionary new personal computer. Pear estimates that it will take competitors at least two years to produce equivalent products. The demand function for the computer is estimated to be P=2,500−500Q�=2,500−500� where Q� is millions of computers. The marginal (and average variable) cost of producing the computer is $900. Assuming Pear acts as a monopolist in its market, the profit-maximizing price and output levels are per computer and million computers, respectively. The total contribution to profits and fixed costs at this output level is million. Pear Computer is considering an alternative pricing strategy of price skimming. It plans to set the following schedule of prices over the coming two years: Complete the following table by calculating the contribution to profit and overhead for each of the 10 time periods and prices. Time Period Price Quantity Sold Total Contribution ($) (Million)…A firm is a profit-maximizing monopolist in the market of a patented computer software. As an economic analyst,you observe the following data:a) The monopoly’s price is set at $50 per copy.b) The monopoly’s total revenue is $300,000.c) The monopoly’s marginal cost at the profit-maximizing quantity is at $30 per copy.Based on the observed data, please determine the linear inverse demand function.Fill in the blanks. Suppose the inverse demand function is of the formwhere a, b are both positive constants, determine the value for a: 1 and b: 2 .Hint: a should be an integer, the answer for b should round to four decimal places.The Pear Computer Company just developed a totally revolutionary new personal computer. Pear estimates that it will take competitors at least two years to produce equivalent products. The demand function for the computer is estimated to be P=2,500-500Q where QQ is millions of computers. The marginal (and average variable) cost of producing the computer is $900. Assuming Pear acts as a monopolist in its market, the profit-maximizing price and output levels are $ per computer and million computers, respectively. The total contribution to profits and fixed costs at this output level is $ million. Time Period Price Units sold Total Contri. 1 2,400 2 2,200 3 2,000 4 1,800 5 1,700 6 1,600 7 1,500 8 1,400 9 1,300 10 1,200 Over the 10 periods, the total contribution to profits and fixed costs from price skimming is $…
- Suppose that a monopolist sells its product in two countries; Japan and Canada. The monopolist’s marginal cost is $60 and total fixed cost is $100. The direct market demand equations in the two countries are as follows:QJ = 200 − 2PJ and QC = 100 − 0.5PC;where the subscript J denotes Japan and the subscript C denotes Canada. Suppose that the monopolist cannot prevent resale, i.e, the monopolist must charge a single price for both countries.a) Derive the direct total market demand equation, QD = f(P).b) What would be the profit-maximizing quantity (Q*), price (P*), and profit (π*)? Please answer both a) and b). Thank you.Barnacle Industries was awarded a patent over 15 years ago for a unique industrial-strength cleaner that removes barnacles and other particles from the hulls of ships. Thanks to its monopoly position, Barnacle has earned more than $160 million over the past decade. Its customers—spanning the gamut from cruise lines to freighters—use the product because it reduces their fuel bills. The annual (inverse) demand function for Barnacle’s product is given by P = 400 – .0005Q, and Barnacle’s cost function is given by C(Q) = 250Q. Thanks to subsidies stemming from an energy bill passed by Congress nearly two decades ago, Barnacle does not have any fixed costs: The federal government essentially pays for the plant and capital equipment required to make this energy-saving product.Absent this subsidy, Barnacle’s fixed costs would be about $4 million annually. Knowing that the company’s patent will soon expire, Marge, Barnacle’s manager, is concerned that entrants will qualify for the subsidy,…Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −3. The marginal cost of producing the product is constant at $100, while average total cost at current production levels is $175.Determine your optimal per unit price if:Instructions: Enter your responses rounded to two decimal places.a. you are a monopolist.
- A wholesaler (upstream firm) sells a product to a retailer (downstream firm). Both the wholesaler and the retailer are monopolists. The wholesaler faces a constant marginal cost of $2 and charges the retailer a wholesale price te: The retailer resells the product to final consumers at price P and the wholesale price to is its only cost. The demand for the good is P-12-Q. For your calculations below, assume that both the P and ware measured in dollars per unit. Hint. The retailer's profit function is (P-w)Q. a (8) Find the profit maximizing retail and wholesale prices and quantities b (2). Using your answers in (a), calculate the retailer's and wholesaler's profits Please do fast ASAP fastAssume 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?. A monopolist sells two products Q1 and Q2 for which the demand functions are: Q1 = 100 – 3P1 + 2P2 , Q2 = 75+0.5P1 - P2 and the joint cost function is TC = Q1 2 + 2Q1Q2 + Q2 2 . a. Use Cramer’s rule method to find the prices. Solve for the profit maximizing level of output and the maximum profit. b. Use the Hessian to check the second-order condition.
- Barnacle Industries was awarded a patent over 15 years ago for a unique industrial-strength cleaner that removes barnacles and other particles from the hulls of ships. Thanks to its monopoly position, Barnacle has earned more than $160 million over the past decade. Its customers—spanning the gamut from cruise lines to freighters—use the product because it reduces their fuel bills. The annual (inverse) demand function for Barnacle’s product is given by P = 400 − 0.0005Q, and Barnacle’s cost function is given by C(Q) = 250Q. Thanks to subsidies stemming from an energy bill passed by Congress nearly two decades ago, Barnacle does not have any fixed costs: The federal government essentially pays for the plant and capital equipment required to make this energy-saving product. Absent this subsidy, Barnacle’s fixed costs would be about $4 million annually. Knowing that the company’s patent will soon expire, Marge, Barnacle’s manager, is concerned that entrants will qualify for the subsidy,…A cruise ship company offers two packages to its clients: an “economy” package and a “deluxe” package with more amenities to its higher-paying customers. The company estimates that its customers have the following demand functions: Economy package: Q(E) = 20,000 - 10PE Deluxe package: Q(D) = 5900 - 1.5PD The costs for the two services (as a function of the number of passengers) are: Economy passenger: C(QE) = 5000 + 100QE + 0.1Q^2E Deluxe passenger: C(QD) = 5000 + 200QD + 6Q^2D What prices should the company set for the economy and deluxe packages? What are the number of passengers that the ship will have in each package, and how much profit does the company make per cruise? Now assume the ship has a maximum capacity of 4,000 people. How many spaces should be arranged for deluxe passengers and how many for economy? What prices should the company set for the two packages? What is the profit for the company now?Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is -1.5. The marginal cost of producing the product is constant at $125, while average total cost at current production levels is $190.Determine your optimal per unit price if:Instruction: Enter your responses rounded to two decimal places.a. You are a monopolist.$ b. You compete against one other firm in a Cournot oligopoly.$ c. You compete against 19 other firms in a Cournot oligopoly.$