Firm 1 and firm 2 compete with each other by choosing quantities. The market demand is given by if Q< 400 400-Q, P(Q) {40 " otherwise = 40q1, and firm 2 has a cost function where Q = 91 +92. Firm 1 has a cost function C₁ (91) C2 (92) = 5092. Answer the following questions. =
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- Exercise 6.8. Two companies with cost functions C1 (q1 )=5q1 and C2 (q2)= 0.5 q2 ² supply the to the same market. If the inverse market demand function is given by P = 100 - 0,5Q , where Q = q₁ + q₂ , find a) The production level of each firm, the price and the profits if the companies compete according to the Cournot model. (b) The level of production of each undertaking, the price and the profits if the undertakings agree to jointly maximise their profits. Show the results with the help of graphs.Given the cost function underlying the figure, would two firms producing output Q (>0) always incur more total cost than one firm producing Q? 60- 55 Let q, be the output of Firm 1 and q, be the output of Firm 2. 50- According to the figure, the total cost of two firms producing Q (as a function of Q) is 45- 40- C(q+) + C(q2)=[]. 35- A 30- The total cost of one firm producing Q (as a function of Q) is E 25 C(Q) =]. く 20- 15- Thus, compared to one firm producing output Q, two firms producing output Q incur V total cost. 10- HAC MC 10 11 12 13 14 15 16 Q, Units per day Enter your answer in each of the answer boxes. JUL 11 MacBook Pro esc G Search or type URL @ #3 $ % & * AC MC, $ per unitSuppose the Boston to Philadelphia airline route is serviced by three airlines – US Airways (Firm A) and JetBlue (Firm B) and Continental (Firm C). The demand for airline travel between these two cities is Q = 150 – p. The cost function is C(Q) = 30Q. The cost function is the same for all three airlines. Assume that the three airlines are making investments in airline capacity. In other words, they are simultaneously choosing quantity. (Cournot Competition) Derive US Airways’ residual demand function given JetBlue’s output, qB, and Continental’s output, qC. What is the Marginal Revenue for US Airways? Derive US Airways reaction function Derive the market equilibrium quantity, Q*, price, p*, and Profit.
- Katie's Quilts is a small retailer of quilts and other bed linen products. Katie currently purchases quilts from a large producer for $100 each and sells them in her store at a price that does not change with the number of quilts that she sells. Katie is considering vertically integrating by making her own quilts. If the fixed cost of vertically integrating is $25,000 and she can produce quilts at Homework: Homework 7 (Lecture 6) Save Score: 0 of 1 pt 6 of 10 (8 complete) HW Score: 80%, 8 of 10 pts Text Question 4.2 Ques $50 per quilt, her total cost of producing quilts, q, herself is C=25,000+50q. How many quilts does Katie need to sell for vertical integration to be a profitable decision? For vertical integration to be profitable, Katie must sell at least nothing quilts. (Enter your response rounded to the nearest whole number.)consider a market with inverse demand P(Q) = 10 − Q and two firms with cost curves C1(q1) = 2q1 and C2(q2) = 2q2 (that is, they have the same marginal costs and no fixed costs). They compete by choosing quantities. Suppose that Firm 1 chooses quantity first and is able to credibly commit to this choice. Then firm 2 choose its quantity after observing firm 1’s quantity. In the SPNE of this game, what is the price faced by consumers?- p = 3- p = 4- p = 5- p = 6- p = 7Continuing from the previous questions where you are a manager of a firm is the exclusive manufacturer of a unique pair of rainbow shorts with demand and cost functions that are Q=100−2P; C=40+2Q2. Now assume that the firm incurs a one-time cost of $10 for a zoning violation. What is the price that the manager should now charge to maximize profits? (Just give the number, no need to include "$")
- Firm 1 is the leader and Firm 2 the follower in the model of price leadership. Thus, Firms 1 and 2 are the only two producers of a certain good; Firm 1 chooses the price p it will commit to maintain in the market; after having observed Firm 1's decision p, Firm 2 chooses the quantity yz it will produce. Here, the firms cost functions are as follows: c(y;)=3y, +y,?/2 and c2(Y2)= y2?/4. The inverse demand curve is p(Y)=70-Y. What is true about the quantity Firm 2 will produce at the equilibrium of this model? O a. It is between 40 and 42. O b. None of the other answers. It is between 44 and 45. O d. It is between 38 and 39. Oe. It is between 43 and 43.5.Use the following to answer questions (1) - (14): Suppose the local market for flat glass, considered a homogeneous product, consists of two firms, A and B. The market demand is given as: Q = 40 - 2P, where Q is the market quantity and P is the price. A's total cost (TC) is: TC, = 6°q4, where q, is the quantity produced and sold by A B's total cost (TC3) is: TC, = 8q2, where qg is the quantity produced and sold by B [1] The market structure these two firms operate in is definitely not monopolistic competition. A. True В. False [2] Behaving as Cournot competitors, at the Nash equilibrium A produces a quantity closest in value to: A. 9 В. 11 C. 13 D. 15 [3] Behaving as Cournot competitors, at the Nash equilibrium the market quantity is closest in value to: A. 10 В. 13 С. 17 D. 20 [4] Behaving as Cournot competitors, at the Nash equilibrium the market price is closest in value to: A. 9 В. 11 C. 15 D. 19 [5] Behaving as Cournot competitors, at the Nash equilibrium B's profit is closest in…5
- This question deals with cost curves and isoprofit curves. Keep in mind that the formula for a firm's cost function is: TC = FC+ C(O) TC → Total Costs: FC → Fixed Costs: C(Q) → Cost of production*Quantity produced → also known as Variable Costs Q2: Firms A and B are two firms supplying products in two separate differentiated goods markets. Equations (1) and (2) give the total cost functions of the two firms: - Firm A: TC = 2Q --- Equation (1) - Firm B: TC = 10 + 2Q --- Equation (2) Each firm has the ability to produce a maximum quantity of 80,000 units in ten batches of 8,000. The cost of production per unit for each firm is $2. Firm B has a fixed cost of $10. (a) Plot isoprofit curves valuing $34,000 and $60,000 for each of the two firms. Provide an explanation for any differences that may exist (b) Use the information given about firms A and B and appropriate diagrams/figures to explain how the equilibrium for both firms will change if a rival company increases its prices.The Lead Zeppelin Company produces powered and steerable lighter-than-air craft. The company’s airships are specially lined and are therefore safer than normal dirigibles. The table below shows the weekly production of dirigibles, along with the associated Average Cost and Total Revenue figures (the Average Cost and Total Revenue figures are actually in thousands of dollars, so the $15 represents $15,000, but we have left off the zeros to save space). Quantity Average Cost Total Cost Total Revenue 0 -- 0 $0 1 $15 15 $10 2 $9 18 $20 3 $8 24 $30 4 $8.50 34 $40 5 $9 45 $50 6 $10 60 $60 7 $12 84 $70 The Lead Zeppelin Company has decided that it will produce at least 1 dirigible. Now the question becomes, how many more dirigibles should it produce to make as much profit as possible? Use the profit-maximizing rule to explain how many dirigibles the Lead Zeppelin Company should produce to…A firm is a perfectly competitive producer and sells two goods X and Y, has demand function 0.1Px – 1.2 + 0.2X = 0 and 10P, – 320+40Y = 0 respectively. The total cost of producing these goods is given by : TC = x2 – 2XY – Y Find the maximum profit and the values of Q1 and Q2 at which this is achieved.