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A: profit maximizing point is where MR = MC , so here by using given information we calculate the…
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A: P1= 1250-3.5Q C(Q)= 1200+1.5Q+0.8Q2
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A: Demand Curve : P = 100 - 10Q MC = 20
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A: Q=156-2P2P=156-QP=78-0.5QNow,TR=P x QTR=(78-0.5Q)Q =78Q-0.5Q2MR=78-QGiven,TC=5654+Q2MC=Q(Here if…
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A: P =120-QMC=60TC=60QNow,TR= P x Q =(120-Q) x Q…
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A monopolist
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- A monopolist discriminates the price of its product among two groups as follows: Q1 = 100 - p1 (demand of customers in group 1) Q2 = 120 - 0.5p2 (demand of customers in group 2) TC = 2000 + ( Q1 + Q2)2 (total cost of production) a) Find the optimal sales to the first, Q1 * , and to the second, Q2 * , group. b) Find prices to be charged to the first, p1 * , and to the second, p2 * , group. c) Find the profit of this firm. d) Show that the group with more elastic demand gets lower price.A monopolist has a demand curve that is described as P = 20 – 2Q and a constant marginal cost that is equal to $10. What is the marginal revenue of this monopolist?A monopolist is determining the optimal output Q* to produce. Demand Function: P=12-2Q Average Cost Function: AC=1/3Q2-5Q+17+25/Q What is the profit function?
- The total revenue curve for a firm is given by TR = 2Q. Multiple Choice The firm is definitely a monopolist. The firm is definitely not a monopolist. The firm may be a monopolist or a perfectly competitive firm. One cannot tell from the equation what market form applies.Economics Consider the following cost function faced by the monopolist: TC(q)= 2q2+20q+10. The demand faced by the monopolist is the following: p(q)=200-10q, where q denotes quantity and p denotes price. Find the price and quantity that maximizes profit of the monopolist. If the monopolist becomes a perfectly price discriminating monopolist, calculate the Consumer Surplus and Producer Surplus.A monopolist can produce at a constant marginal cost of $5 and a fixed cost of $55. It faces a market demand curve given by Q = 24- P/4. Demand: Q = 24 - P/4 Inverse Demand: P = 96-4Q Total Revenue (TR) = 96Q-4Q^2 Marginal Revenue (MR) = 96 - 8Q Marginal Cost (MC) = 5 Profit maximizing quantity of monopolist= 11.375 Profit maximizing price of monopolist= $50.5 Profit of monopolist= $ 517.5625 Suppose a competitive firm has the same constant marginal cost of £5. Find the profit maximising output for this firm. What is the price that the competitive firm must charge? The government decides to impose a new policy on this monopolist. In particular, the government wants to introduce price regulation such that the regulated price will consequently make this monopolist earns zero profit only. What is the regulated price that this monopolist should charge? How many quantities of output are produced with this new regulated price?
- Market research shows that a particular monopolist faces a market demand function given byIts cost function isP （Q） = 50 - 2Q.C（Q）= 47 + 10Q What is the monopoly market price and quantity? What is the monopolist’s profit? What is consumer surplus at the monopoly price? What would the price and quantity be in this market be if the monopolist behaved as in perfect competition? What is the consumer surplus in the case of perfect competition? Which is higher and why? What is the “social cost” of monopoly?A monopolist is deciding how to allocate output between two geographically separated markets. The demand curve for the firm's output in each market is: P1 = 4,000 - 100Q1 P2 = 2,000 - 50Q2 Where P1 and P2 are the prices of the product in each market and Q1 and Q2 are the amounts sold in each market. The firm's marginal cost curve is: MC = 25Q where Q is the firm's entire output (Q = Q1 + Q2) a) how many units should the firm sell in each market? (Keep Q1 and Q2 in decimal form) b) What price should it charge in the first market? (Use Q1 in decimal form) c) What price should it charge in the second market? ( Use Q2 in decimal form)Assume quantities need not be integers. Assume a profit maximizing monopolist with marginal cost equal to $4 faces demand MWTP(Q) = 14 - 2Q. Assuming it must charge the same price for each unit it sells, what is elasticity of demand at the price it chooses?
- A monopolist's inverse demand function is estimated as P= 400 - 2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC₁(Q1) = 7Q₁, and the marginal cost of producing at facility 2 is MC2(Q2)=2Q2- a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q₁ + Q₂ = Q.) MR(Q) = 400 $ 7Q₁- b. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: 14 Output for facility 2: 50 c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). 272 x 4 Q2A monopolist has discovered that the inverse demand function of a person with income Y for the monopolist’s product is P = 0.002Y-Q where P is the price, Y the income, and Q is the output. The monopolist can observe the incomes of its consumers and hence vary its price accordingly. The monopolist has a total cost function C(Q) = 100Q. A. Calculate the profit maximising price as a function of the consumer’s income Y carefully explaining all the steps in the derivation of the formula. B. A monopolist has a constant marginal cost of £2 per unit and no fixed costs. He faces two separate markets in the United States and in the UK. The goods sold in one market are never resold in the other. He sets one price P1 for the US market and another price P2 for the UK market (both measured in £). The demand in the United States is given by Q1=7,000-700P1 and the demand in the UK is given by Q2=1,200-200P1. Calculate the profit maximising output produced and price charged in each country by the…A monopolist always produces at the low point of its average total cost (ATC) curve. is this true or false
