13) The cobalt mining company is perfectly competitive. Each existing firm and every potential entrant faces an identical U- shaped average cost curve. The minimum level of average cost is $5 per ton and occurs when the firm produces y = 2 million tons of cobalt per year. The market demand curve for cobalt is Y = 205 - p, where Q is in millions of tons per year and the market price p is in dollars per ton. c) How many active cobalt producers will be in the market? Explain your answer. d) If the demand fell to Y = 185 - p, briefly explain what you would expect to happen to the following in the long run: i) price. ii) firm quantity. iii) firm profits. iv) the number of firms.
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- You are a manager at Spacely Sprockets—a small firm that manufactures Type A and Type B bolts. The accounting and marketing departments have provided you with the following information about the per-unit costs and demand for Type A bolts: Materials and labor are obtained in a competitive market on an as-needed basis, and the reported costs per unit for materials and labor are constant over the relevant range of output. The reported unit overhead costs reflect the $10 spent last month on machines, divided by the projected output of 2 units that was planned when the machines were purchased. In addition to the above information, you know that the firm’s assembly line can produce no more than five bolts. Since the firm also makes Type B bolts, this means that each Type A bolt produced reduces the number of Type B bolts that can be produced by one unit; the total number of Types A and B bolts produced cannot exceed 5 units. A call to a reputable source has revealed that unit costs for…Assume the following cost data are for a purely competitive producer: Using the data in 3d, assume that there are 1500 identical firms in this competitive industry; that is, there are 1500 firms, each of which has the cost data shown in the table. Complete the industry supply schedule (column 4).Suppose a competitive industry has 1,000 identical firms. After years of firms entering and exiting this industry the market is now in a stable equilibrium where all surviving firms are of the optimal size (their fixed costs are exactly such that the long run costs and short run costs are identical). Each firm has a total cost curve of: TC = 2 + 4q + .5q2. This total cost curve implies a marginal cost curve of: MC = 4 + q. a) How much will each firm produce? b) What is the equilibrium price in this market?
- Suppose that demand for a particular style of handmade Rwandan baskets is Qd = 1700 – 10P. Each basket maker has the following cost function: TCi = 1000 + 50 qi + .1 qi^2. Given this information, find the market outcomes under the various market structures below Perfect competition, long-run. Given the same cost functions above, find the long-run equilibrium quantity per firm, the LR market price, market quantity and equilibrium number of firms. What is the profit or loss per firm? What is MCi and ATCi?1- Suppose that the total cost function of a firm is given as follows;TC = 500 + 2Q2And the price of the firm’s product is determined by the market equilibrium at $100.a- Set the profit maximizing condition . Find the profit maximizing output level for this firm .b- What is the total revenue ?c- What is the total cost ?d- What is the profit earned by the firm ?e- Illustrate your answer by using a well-labeled graph .f- Denote the break even price level with Pb on the same graph .g- Denote the shut down price level with Ps on the same graph.h- Show the firm’s supply curve on the same graph .i- Does the firm function in short-run or long-run ? Why ?The market determined price in a perfectly competitive industry is P = Rs. 10. Suppose that the total cost equation of an individual firm in the industry is given by the expressionTC 1000+2Q+0.01Q2 What is the firm’s profit-maximizing output level and profit? Is this profit normal profit or supper normal profit? Justify your answer
- Assume the following total cost schedule for a perfectly competitive firm. Output TVC TFC 0 0 100 1 40 100 2 70 100 3 120 100 4 180 100 5 250 100 6 330 100 The total cost of producing 6 units of output is __________________ If the firm is producing at an output level of 2 units, the ATC is _____________ and the AVC is ______________ The profit-maximizing firm would shut down in the short run if the market price of its output dropped below ___________________ At what price would a profit-maximizing firm earn zero economic profits? _______________A purely competitive firm finds that the market price for its product is $25.00. It has a fixed cost of $100.00 and a variable cost of $10.00 per unit for the first 50 units and then $30.00 per unit for all successive units. Instructions: Round your answers to 2 decimal places. a. Does price equal or exceed average variable cost for the first 50 units? (Click to select) No Yes What is the average variable cost for the first 50 units? b. Does price equal or exceed average variable cost for the first 100 units? (Click to select) No Yes What is the average variable cost for the first 100 units? c. What is the marginal cost per unit for the first 50 units? What is the marginal cost for units 51 and higher? d. For each of the first 50 units, does MR exceed MC? (Click to select) No Yes What about for units 51 and higher? (Click to select) No Yes…Consider a company that operates in a competitive market, with a typical set of cost curves (Marginal Cost, Average Variable Cost, Average Fixed Cost and Average Cost with typical formats of Microeconomics theory). Consider further that Marginal Costs coincide with Average Total Costs when the firm's output is 200 units of output, at a market price of 50. If market prices fall to 40, the company will produce 180 units of product to maximize its profit. If at this point the Average Fixed Costs per unit of output equals 27 per unit of output, what are your recommendations for this company in the short term? And in the long run?
- Suppose you are the economic advisor of Jackie Brown Company, a perfectly competitivecompany that is suffering economic losses due to unforeseen continuous drop in the market price.Jackie Brown is a price taker; hence it cannot influence the market price, nor could it changeproduction technology in the short run. You are asked to decide whether the company should shutdown its operations or to continue to operate at a loss. Jackie Brown is selling 50 units of outputper day, at a price of $20 per unit. The cost of raw material, direct labor, energy, and othervariable inputs is about $24000 monthly. Unfortunately, an estimate of Jackie Brown fixed costs iscurrently unavailable. So, what is your decision?Assume that a firm in a perfectly competitive industry has the following total cost schedule: Calculate a marginal cost and an average cost schedule for the firm to complete the following table. Output Total Cost Marginal Cost Average Cost (units) ($) ($) ($) 10 440 15 600 20 720 25 900 30 1,200 35 1,540 40 1,920 If the prevailing market price is $68 per unit, units will be produced. Profits per unit will be and total profits will be . Is the industry in long-run equilibrium at this price? No YesMarginal Analysis II Question 2 Suppose a competitive firm has as its total cost function: TC=18+2q2TC=18+2q2 Suppose the firm's output can be sold (in integer units) at $58 per unit. Using calculus and formulas (don't just build a table in a spreadsheet as in the previous lesson), how many integer units should the firm produce to maximize profit? Please specify your answer as an integer. In the case of equal profit from rounding up and down for a non-integer initial solution quantity, proceed with the higher quantity. Hint 1: The first derivative of the total cost function, which is cumulative, is the marginal cost function, which is incremental. The narrated lecture and formula summary explain how to compute the derivative. Set the marginal cost equal to the marginal revenue (price in this case) to define an equation for the optimal quantity q. Hint 2: When computing the total cost component of total profit for a candidate quantity, use the total cost function provided in the…