Consider two identical Cournot firms that have zero marginal cost facing the market inverse demand function: P = 100 – Q What is the quantity produced by each firm? Round your answer to the nearest 1 decimal places.
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- The Zinger Company manufactures and sells a line of sewing machines. Demand per period (Q) for a particular model is given by the following relationship:Q = 400 − .5Pwhere P is price. Total costs (including a "normal" return to the owners) of producing Q units per period are:TC = 20,000 + 50Q (a) Express total profits (π) in terms of Q. (b) At what level of output are total profits maximized? What price will be charged? What are total profits at this output level? (c) What model of market pricing has been assumed in this problem? Justify your answer.Suppose you are the marketing manager for Fruit of the Loom. An individual's inverse demand for Fruit of the Loom women's underwear is estimated to be P = 25 − 3Q (in cents). If the cost to Fruit of the Loom to produce an item of women's underwear is C(Q) = 1 + 4Q (in cents), compute the profit Fruit of the Loom will earn by charging the optimal block price. a. $108.50 b. $0.73 c. $1.37 d. $136.50Only typed answer Two firms both produce leather boots. The inverse demand equation is given by P = 340 - 2Q, where P is the price of boots in USD/pair and Q is quantity of boots in million pair. The cost function is given by: C(Q) = 40Q. If the two firms are Stackelberg oligopolists), the output of the leader is equal to: 1) 60 2) 80 3) 75 4) 900
- Alchem (L) is the price leader in the polyglue market. All 10 other manufacturers(follower [F] firms) sell polyglue at the same price as Alchem. Alchem allows theother firms to sell as much as they wish at the established price and supplies theremainder of the demand itself. Total demand for polyglue is given by the followingfunction (QT = QL + QF):P ¼ 20;000 4QTAlchem’s marginal cost function for manufacturing and selling polyglue isMCL ¼ 5;000 þ 5QLThe aggregate marginal cost function for the other manufacturers of polyglue isΣMCF ¼ 2;000 þ 4QFa. To maximize profits, how much polyglue should Alchem produce and what priceshould it charge?b. What is the total market demand for polyglue at the price established by Alchemin Part (a)? How much of total demand do the follower firms supply?consider 2 gas stations in a remote village facing a simple linear markit demand Q=300-5P, but have different marginal costs of production, both constant, such that MCx=20 and MCy=10. 1. Measuring the quantities Qx on the horizontal axis and the quantities Qy on the vertical axis, draw the reaction curves for each of the gas stations.Mavi and Diesel both make basic blue jeans. The demand curves for the two firms are given by Qm=135,000−3000Pm+1200Pd Qd=154,000−4000Pd+1000Pw suppose it is a price equilibrium for Mavi to set a price of $30 per pair of jeans and Diesel to set a price of $25. What is marginal cost for Mavi What is marginal cost for Diesel
- Answer the given question with a proper explanation and step-by-step solution. Suppose inverse demand is given by the following: P = 40 - 0.5Q There are two firms each with the same marginal cost. Marginal Cost is 10. Under Cournot competition, what is the output for firm one? 10 20 25 30Given P = 300 + 200Qs (demand equation), P = 6300 − 50Qd (supply equation), and TC = 500 + 10Q + 0.8Q2 (cost function) in a perfectly competitive market, a profit-maximizing firm will produce an output equal to ________. Round your final answer to the nearest 2 decimal placesSuppose you are the marketing manager for Fruit of the Loom. An individual's inverse demand for Fruit of the Loom women's underwear is estimated to be P = 25 − 3Q (in cents). If the cost to Fruit of the Loom to produce an item of women's underwear is C(Q) = 1 + 4Q (in cents), compute the price Fruit of the Loom should charge for a package of women's underwear. $108.50 $1.09 $1.02 $136.50
- Consider two identical firms that face themarket demand p = 180 − q, where q = q_1 + q_2 is the total outputproduced by the two firms, and qi (i ∈ {1, 2}) is the output of firm i.The cost function of firm i is C_i(qi) = q_2i . Suppose, firm 1 chooses theprice p per unit of output first, and firm 2 will take the price p as givenand make its choice of output quantity q2.(a) Carefully write down Firm 2’s optimization problem and solve it.(b) Carefully write down Firm 1’s optimization problem and solve it.(c) What is the total output quantity produces by the two firms?Which profits will the firms make??DuopolyMarket for mechanical pencils can be described by the following demand schedule:Price | Number of pencils demanded$6 | 80$5 | 200$4 | 320$3 | 440$2 | 560$1 | 680$0 | 800The fixed cost is $340, while the variable cost is $0.50.d) If there were two firms on the market and they agreed to cooperate, how much would eachfirm need to produce? Follow the procedure outlined in the lecture and show that the otherfirm would prefer to deviate from the agreement.e) When the firms deviate from the agreement, there is a new optimal level of output. Showwhether the firms have an incentive to deviate from that level?f) If there were two firms on the market, what would be the price and the quantity of pencilstraded if the firms couldn’t cooperate?Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost:MC=q where q is an individual firm's quantity produced. The market demand curve for this product is Demand:QD=120−P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market.a. What is each firm's fixed cost? What is its variable cost? Give the equation for average total cost.b. Graph average-total-cost curve and the marginal-cost curve for qfrom 5 to 15. Atwhat quantity is average-total-cost curve at its minimum? What is marginal cost and averagetotal cost at that quantity?c. Give the equation for each firm's supply curve.d. Give the equation for the market supply curve for the short run in which the number of firms is fixed.e. What is the equilibrium price and quantity for this market in the short run?f. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to…
