4. A monopolist produces exactly the same product at three plants with respective costs C = Q1 + Qỉ C2 = 3Q2 C3 = 3Q3 – Q3 Ci If the price for the product is P; = 40 – Qi Rị = P;Qi i = 1,2,3 → TR = E{ R{ Find the critical value (Qj, Q2, Q3) of the firm's profit ( = TR – TC) and use the Hessian to determine if it is a relative minimum or maximum.

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Please answer question d, e and f

Q. No. 4. A pharmaceutical firm faces the following demand and cost curves. P=100 – 20 and C = 50+ 40Q Suppose the pharmaceutical firm is a single seller and sells its product at the same price both in Nepal and Bangladesh. a) Determine the firm equilibrium price and quantity. b) How much is the monopolist's profits?

Refer to the accompanying table, which represents the costs and production for a monopolist. Price Quantity Fixed Cost Variable Cost $20 0 $10   $0 $18 1 $10   $5 $16 2 $10   $8  $14 3 $10 $18   $12 4 $10 $30   $10 5 $10 $44         1) At Q=2, the marginal cost of this firm is $ ____ 2)The profit made by this profit-maximizing firm is $ __

QUESTION 3 A monopolist has a cost function of c(x) = x so that its marginal cost is constant at $1 per unit. It faces the following demand curve: D(p) = {100/p 100/p if p > 20 if p ≤ 20 A. What is the profit-maximizing choice of output/price for the monopolist? Graphically represent the monopoly market. B. If the government sets a price ceiling on the monopolist in order to force it to act as a competitor, what price should the government set? C. What output would the monopolist produce if forced to behave as a competitor? D. Based on the information in parts A - C, find the consumer-, producer-, and social surpluses before and after the government intervention.

Suppose that a unique technology is developed that allowed for the production of lightsabers. The inspired entrepreneur (let's say, Lucas George) who developed the technology immediately slaps a patent on the design and hoards kyber crystals (necessary input). Demand and production costs are given below: P(Q) = 14,000 - 600Q C(Q) = 3,000 + 100² 1. How much profit does Lucas the monopolist earn? 2. Solve for the market failure of Lucas operating as a monopolist relative to what would be observed if Lucas operated as a competitive firm. Martin the Martian (not to be confused with any other martian that might be copyrighted...) observes the profits being made by Lucas. Determining that ray guns are not that different from lightsabers, Martin begins competing with Lucas: P'(Q) = 12,000 - 600Q' 3. A third potential business owner, Dr. When, has watched this market carefully and is trying to decide whether or not to market her Sonic Screwdriver (a near-substitute). Based on your previous…

Price 180 168 156 144 132 120 108 96 84 72 60 48 36 24 12 0 1 0 45 90 135 180 225 270 315 360 405 450 495 540 585 630 Quantity MR <<--MC=AC A monopoly face the following demand, marginal revenue and marginal cost functions Note that in this case MC(Q) = AC(Q) for all Q. Calculate consumer surplus if the monopoly charges the (single) profit maximizing price 675

5. Tom is a monopolist input supplier to Dick and Harry. Tom's marginal cost is 1. Dick and Harry are duopolists with production function q x/2 No firm has fixed costs. The demand for the final product is given by Q 100-p. a) Assume Dick and Harry buy the input from Tom at price k. What are their cost functions? b) Find the Cournot equilibrium quantities. c) What price, k, should Tom set? d) Now suppose Dick could buy Tom's firm and stop supplies of the input to Harry so that Dick would be a monopolist. How much is Dick willing to pay for Tom's firm? e) How much is Tom willing to sell his firm for?

a) Find and highlight the consumer surplus in the monopoly in the diagram.b) Draw a possible marginal cost curve for the monopolist into the diagram that is consistentwith all the other curves that are already given. c) Based on the marginal cost curve that you constructed in part (b), find and highlight themonopolist’s total costs at the monopoly price in the diagram. d) Briefly (200 words max) explain the shape of the marginal revenue curve as compared tothe demand curve in the diagram.