Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 1. Calculate the equilibrium
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Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium.
1. Calculate the
2. How much is the total revenue in each market?
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- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.In a market, in the long run (free entry/exit), firms share a production function which results in costs following C(q)=0.1q3- 4q2 + 60q , where is the quantity produced by each firm Given a market demand of QD(P)=1,500 - 10P A) What is the equilibrium price? B) What is the market quantity supplied/demanded? C) How many firms will supply in this market, and how many units would each firm supply?Consider the competitive market for ruthenium. Assume that no matter how many firms operate in the industry, every firm is identical and faces the same marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves plotted in the following graph. 80 72 56 · ཉི་ ཀ་ཇཱ་སྐ་ན་ COSTS (Dollars per pound) AVC 16 MC- 8 ATC B 12 16 20 24 28 QUANTITY (Thousands of pounds) 36 The following graph plots the market demand curve for ruthenium. ? Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 20 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 30 firms. PRICE (Dollars per pound) 80 72…
- a) Find the long run equilibrium price. Find the minimum efficient scale of the typical firm. Find the typical firm’s average cost when it operates at minimum efficient scale. In the long run, what price will prevail in this market? In words, clearly justify your answer. Suppose demand is QD = 3,200 – 100P. (b) Explain why you expect the number of firms in this market to be fifty-five. In this market, what is the short run supply function of the typical firm? What is the short run market supply function? Suppose the local government introduced a $90 licensing fee that raised the fixed cost from $160 to $250. c) Would the introduction of the licensing fee affect the short run equilibrium price or quantity? Justify your answer? Clearly explain why you expect that in the long run fewer larger firms will operate in this market. After the introduction of the licensing fee, what is the new long run equilibrium price? How many firms will survive in this market?Suppose a typical (representative) corn farm has a short run production technology which results in the outcome of U-shaped Average Variable Cost (AVC), Average Total Cost (ATC), and Marginal Cost (MC). Further, suppose this firm sells its product in a market where the price of the good is determined by the interaction of market Demand and Supply. Because an individual firm is very small compared to the rest of the market, we treat the market price as the price given to the firm, and the individual firm cannot impact that price. assume we are in the Short Run for this firm. In graphing, put $ on the vertical axis and lower-case q (firm output) on the horizontal axis. Start with the AFC0, AVC0, ATC0, and MC0 curves . show shifts in any of the cost curves, reflecting the higher cost of land (keeping in mind that this higher cost is independent of how much or how little corn is actually produced) and labeling the changed cost curves with a subscript 1. On the graph with $ on the…Suppose that there are 177 identical firms in the market, each with a cost function C(q) = 100 + 1.5q², and that market demand is D(q) = 450 - 15p. What is the equilibrium price? Your Answer:
- Consider a housing market in which the rental properties are owned by 10 price-taking compa- nies. The cost function for each company is Jo C(q) = if q ≤ 10 if q> 10. That is, each company can offer any quantity up to its available rental space 10 at no cost, but it cannot offer any more than 10. Suppose the market demand is given by D(p) = 1000 p if p 1000, (c) Determine the point-price elasticities of demand and supply and state whether at the equilibrium price, they are elastic or inelastic. (d) Suppose the government imposes a 20% value added tax on rent. Calculate the equilibrium supply of housing, and determine the price paid by tenants and the price received by housing companies in equilibrium. Does the tax hurt tenants or create a dead- weight loss? Explain your answer!A firm faces the following average revenue (demand) curve: P = 100 - 0.01Q where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 50Q + 30,000. Assuming the firm maximizes profits, the firm's level of production is price in cents is and total profit per week in dollars is (please put your answer for price, quantity and profit in numerical values without any dollar sign, comma or decimal place). If the government decides to levy a tax of 10 cents per unit on this product, the new level of production is the price received by the monopolists after tax in cents is and total profit per week in dollars is the price facing the consumer after the imposition of the tax in cents is (please put your answer for price, quantity and profit in numerical values without any dollar sign, comma or decimal place).Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,00 and a fixed cost of $10 billion. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States. The demand for BMWs in each market is given by QE=4,000,000−100PE and QU=1,500,000−20PU where the subscript E denotes Europe, the subscript U denotes the United States. Assume that BMW can restrict U.S. sales to authorized BMW dealers only. a. What quantity of BMWs should the firm sell in each market, and what should the price be in each market? What should the total profit be? (round dollar amounts to the nearest penny and quantities to the nearest integer) In Europe equilibrium quantity is 1,000,000 cars at an equilibrium price of $30,000 In United States equilibrium quantity is 550,000 cars at an equilibrium price of $47,500 BMW makes a total profit of $15.125 billion. I Need help with this part: If BMW were forced…
- Let us consider an economic sector characterized by the following data. The (inverse) demand function is p = 20 -2q with q the quantities produced by the firms in the sector and p the price. The total cost of production for any firm in the sector is: CT(q) = q* - 4q +5 (I have included the questions and answers a) and b) if necessary) a) First, assume that there is only one firm, firm 1, in the industry. Calculate the price, quantity produced and profit of firm 1 in a monopoly situation that wants to maximize its profit Answer: Total Revenue = p*q = (20 - 29) q Marginal Revenue = d(TR)/dq = 20 - 4g Marginal Cost = d(Cq)/dq = 2q - 4 Putting in optimal condition: MR = MC 20 - 4g = 29 - 4 Putting in demand function: p* = 12 (Profit maximizing Output) q* = 4 (Profit maximizing Output) b) Firm 1 seeks to deter the entry of another firm, firm 2, into its market through a sustainable monopoly strategy. Calculate the equilibrium price, quantity and profit of firm 1 given this strategy Answer:…Consider the competitive market for steel. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph. The following diagram shows the market demand for steel. Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms.Suppose that over the short run (say the next 5 years), demand for OPEC oil is given by P = 165 – 2.5q. Here q is measured in millions of barrels a day. OPEC marginal cost per barrel is $15. What is OPEC’s optimal level of production? What is the prevailing price of oil at that level? Many experts contend that maximizing short-run profit is counterproductive for OPEC in the long run because high price reduces buyers to conserve energy and spur competition and new exploration that increases the overall supply of oil. Suppose that the demand curve just described will remain unchanged only if oil prices stabilize at $65 per barrel or below. If oil price exceeds this threshold, long run demand (over a second five year-period) will be curtailed to P = 135 – 2.5q. OPEC seeks to maximize its total profit over the next decade. What is the optimum output and price policy? (assume all values are present values)