You are given the market demand function Q = 3400 – 1000p, and that each duopoly firm's marginal cost is $0.28 per unit, which implies the cost function: C(41) = 0.28%j. assuming no fixed costs for i = 1, 2. The Cournot equilibrium quantities are q, and q2 =(enter your responses as whole numbers). %3D
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- 1. if the total cost function for this market is TC = 500 + 10Q2 , calculate the total and marginal costs for each of the quantities in the table. what is the demand function for this market? 2. What are the profit-maximizing quantity, price, and profit for this market? 3. If there are two firms Atlas and Bowden in this market with the same earlier total cost function and they engage in Cournot competition, what is each firm's equilibrium quantity, price, and profit? [NB: round quantities to nearest integer to find equilibrium quantity, price, and profit]The inverse market demand eurve for a Covid-19 mask is given by P(y) = 120 – 2y , and the total cost function for any firm in the industry is given by TC(y) = 4y • What will be the total output and price if there are two Cournot firms competing in the industry? • What would be the total output and price if two firms have decided to collude?Please show indepth working out.
- Consider the differentiated goods Bertrand price competition model where firms A and B produce similar goods and sell them at pA and pB. The demand for each firm’s product is given byqA =60−2pA +pB andqB =60–2pB +pA ,and there are NO costs of producing either good (all costs are 0). (a)Calculate the (Bertrand) equilibrium prices and the net profits of each firm (b) Now suppose that -instead of competing to maximize their own individual profits- the firms decide to “collude” and set prices pA and pB to maximize their joint profits (sum of their profits). What would be each firm’s optimal price and net profits? Compare these prices and profits with what you found in (a) (greater/smaller/the same?).onsider a homogenous good industry with four firms. Total demand is given by D(p)=200-p.The variable (=marginal) cost of each of the firms is c1=10, c2=20, c3=30 and c4=35. Firms compete in prices. Suppose firms 1 and 2 merge into one entity and produce with a marginal cost of 15. Which of the following statements is correct? After the merger, total welfare increases by $500. After the merger, total welfare decreases by $500. After the merger, total welfare increases by $1000. After the merger, total welfare decreases by $1000. None of the above.Suppose Giocattolo of Italy and American Toy Company of the United States are the only two firms producing toys for sale in the U.S. market. Each firm realizes constant long-term costs so that the average total cost (ATC) equals the marginal cost (MC) at each level of output. Thus, MCo = ATCO is the long-term market supply schedule for toys. Suppose Giocattolo and American Toy Company operate as competitors, and the cost schedules of each company are MCo = ATCO = $10. On the following graph, use the grey point (star symbol) to identify the competitive market equilibrium. Then, use the green triangle (triangle symbols) to identify consumer surplus in this case. Note: Select and drag the point from the palette to the graph. Dashed drop lines will automatically extend to both axes. Then select and drag the shaded region from the palette to the graph. To resize the shaded region, select one of the points and move to the desired position. ? PRICE (Dollars per toy) 20 18 16 14 10 00 6 4 2 0…
- There are two identical firms in an industry, 1 and 2, each with cost function , i = 1,2. The industry demand curve is P = 100 − 5X where industry output, X, is the sum of the two firms’ outputs (X1 + X2). (a) If each firm makes its output decisions on the assumption that the other will not react to its choices (the Cournot assumption), what is the equilibrium output for each firm? What is the equilibrium price? (b) Suppose that each firm takes it in turn to choose its level of output, on the assumption that the other’s output level is fixed. Would the process of adjustment be stable? (c) Suppose that firm 1 introduces a cost-saving innovation, so that its cost curve becomes C1 = 8X1. Firm 2’s cost curve and the industry demand curve are unchanged. What happens to the equilibrium quantity produced by each firm and to market price?Answer 1, 2 and 3, see the question properly.2
- Consider the following model of Cournot competition with fixed cost. There are two identical firms, and the inverse demand function is given by 5. P(q1, 42) 19 – (q1 + 92). Firms have constant marginal cost, but any firm operating in this market (that is, q; > 0) must pay a license fee F. In particular, firm i's cost function is if qi = 0 c:(4;) = { F+4 if qi > 0. (a) Derive the firms' best response functions. (b) For what values of F, if any, will there be a symmetric (pure) Nash equilibrium in which firms produce a positive quantity? What is the Nash equilibrium in that case? (c) For what values of F, if any, will both firms shutting down be the Sy anmetric (pure) Nash equilibrium?Problem 5: Presently, Alpha Chemical and Beta Cleaners are the only suppliers of services that clean and refurbish| large holding tanks at manufacturing plants in the Northeast. No other suppliers have the equipment necessary to perform these treatments. The market inverse demand for these cleaning services is given below. P=800-80 where P is price per treatment and Q is total number of treatments per week. For simplicity, also assume that neither firm has fixed costs. From company records, you are given the following variable cost function for each firm: In the work that follows, you may round all your results to 2 decimal places to reduce the clutter in your answers. a. b. TVC₁ = 30 TVC, =5Q C. Suppose Elon Must is contemplating buying both companies and since Alpha has lower operating costs, his first thought is to shut down Beta and supply the entire market as a single plant monopoly. If he does this, what price will he charge per treatment and how many treatments will he sell each…You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms' products are viewed as identical by most consumers. The relevant cost functions are C(Q) = 4Q;, and the inverse market demand curve for this unique product is given by P= 100 -2 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $200, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.) What are your profits if you do not make the investment? $ What are your profits if you do make the investment? Instructions: Do not include the investment of $200 as part of your profit calculation. $ Should you invest the $200? O Yes - the cost of establishing the first-mover advantage exceeds the benefits.…