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- Suppose a certain city has a monopoly cable-television company. This company has total costs TC = Q2 + 10Q + 75. (Hint: using calculus, this means MC = 2Q + 10 since MC is the derivative of TC with respect to output.) The demand in the community is approximated by the equation Qd = 85 - P/2 (alternatively, you can write the demand equation as Qd = 85 – 0.5P). Graphically depict the demand curve as well as the marginal cost (MC) curve. If the cable company is free to choose its own price Pm and quantity Qm, graphically depict the monopoly equilibrium price and quantity. Add any other curve(s) to your diagram that may be required to obtain this outcome. Compute and state the exact monopolist equilibrium price Pm and quantity Qm that you depicted graphically.A monopolist sells in 2 markets and produces in 1 factory. Although the monopolist can charge difference prices in the two markets, it must sell all units within a market at the same price. a) Suppose this monopolist does not have a marginal cost (MC = 0). If demand in market 1 isX1(p1) = a1 - b1p1 and demand in market 2 is X2(p2) = a2 - b2p2, set up the monopolist's profit maximization problems and solve for the market prices that result in each market. b) Under what conditions on a1, b1, a2, b2 from above will the monopolist not price discriminate? c) If demand in market i, where i = 1 , 2, is instead Xi(pi) = ai pi^(-bi) and the monopolist has some constant marginal cost of c, where c > 0, set up the monopolist's profit maximization problem and solve for the market prices.For a monopolist, it is typically a great idea to implement third-degree price discrimination (the one where the monopolist chooses different prices for different groups of customers) when the consumers can easily re-sell the good to one another after acquiring it from the monopolist. (a) True. (b) False.
- Typed plzz Asap....A monopolist faces the demand curve P = 18 – Q, where P is measured in rands per unit and Q in thousands of units. The monopolist has a constant average cost of R6 per unit. 1. What are the monopolist’s profit-maximising price and quantity and what is its resulting profit? (8)Suppose a certain city has a monopoly cable-television company. This company has total costs TC = Q2 + 10Q + 75. (Hint: using calculus, this means MC = 2Q + 10 since MC is the derivative of TC with respect to output.) The demand in the community is approximated by the equation Qd = 85 - P/2 (alternatively, you can write the demand equation as Qd = 85 – 0.5P). Graphically depict the demand curve as well as the marginal cost (MC) curve. If the cable company is free to choose its own price Pm and quantity Qm, graphically depict the monopoly equilibrium price and quantity. Add any other curve(s) to your diagram that may be required to obtain this outcome. Compute and state the exact monopolist equilibrium price Pm and quantity Qm that you depicted graphically.
- A monopolist facing a demand p=1000 - 10Q has costs TC(Q) = 5Q^2 + 100Q. (a) What is the monopolist’s profit maximizing quantity and price? What is the induced DWL? (b) Suppose, on top of the costs above, the firm now also pays; (i) A flat fee of 1000 dollars, (ii) half of the profits, (iii) 150 dollars per unit sold, (iv) half of the revenue. Separately for each of these 4 cases, calculate the profit maximizing price and quantity for the monopolist with these new augmented costs. Does any of these scenarios alter the DWL associated with the monopoly, compared to (a)? (c) Forget about (a) and (b), and consider a monopoly in general. Show on a single graph with general costs (ATC and MC graphs) and a general demand, what quantity monopoly should produce in order to maximize ; (i) Total Revenue, or (ii) the number of units sold, under the condition that the firm does not make lossesA monopolist is facing the following demand schedule Pa24-30 That is, Q0 implies Pe24, then Qefimplies P21, and Q-2 entals P18, and so one. Fixed costs will be neglected in this analysis. The marginal cost is constant and equal to 3 for every unit produced. Determina (a) The quantity produced and the amount of maximum profits (b) Price and quantity to yield the efficient solution (c) Redo (a) when we impose a sales tax equal to 4 (per unit sold).A chemical manufacturer uses chemicals 1 and 2 to produce two drugs. Drug 1 must be at least 80% chemical 2 and drug 2 must be at least 75% chemical 1. Up to 70,000 ounces of drug 1 can be sold at $40 per ounce; up to 50,000 ounces of drug 2 can be sold at $15 per ounce. Up to 65,000 ounces of chemical 1 and up to 42,000 ounces of chemical 2 can be purchased. Formulate this problem as a linear programming model (using algebraic notation) to determine how to maximize the manufacturer's revenue. (You only need to formulate this problem as an algebraic model. No Excel spreadsheet model. No need to solve the model.)
- true or false The oligopolist reduces the price of the good by 10%, but the competitors reduced their prices by 8%. As a result, the oligopolist only attracts only an additional 5% consumers from his competitors, This will reduce the total revenue of the oligopolist.10 8 7 5678 Price = 10, Quantity = 5 Price = 3, Quantity = 5 MC Price = 8, Quantity = 7 Q If the monopolist depicted in the above figure is maximizing profits, the correct price/output combination will be: Price = 6, Quantity = 6 ATC DABC, Inc. produces a special stem cell safety container in a monopolistically competitive market. The market is restricted to stem cell researchers and a few large medical agencies (e.g., Department of Health). The company has profitably exploited its market niche. However, the XYZ Company could enter into the market. The following market demand and cost information has been developed: P = $3000-$0.25Q, MR = ƏTR/ƏQ = $350 - $4.4Q, %3D TC = $1950 + $7.5Q2 + $6.5Q MC = ƏTC/aQ = $14 + $4Q, where P is price, Q is units measured by the number of containers, MR is marginal revenue, TC is total costs including a normal rate of return, MC is marginal cost, and all figures are in dollars. Assume that demand and cost data are descriptive of ABC's historical experience. If ABC wants to maximize their profit before XYZ enters the market, what would the following amounts be for: a. Price: P = $Answer b. Output (or Quantity): Q = Answer units c. Total Cost: TC = $Answer d. Economic Profits Earned: N…