Suppose a large corporation produces airplanes in a perfectly competitive industry. The data in the following table give information about the cost of producing a particular type housands), where quantity is q, total cost is C, and marginal cost is MC. Airplanes sell for $192 thousand. q 0 1 2 3 3 4 X 5 X 6 9 7 8 9 10 с 400 600 712 792 848 040 920 Yo 1000 1000 1088 1223 1398 1613 MC 200 112 80 56 14 80 00 135 175 215
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- A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.Suppose that the development of a new drought-resistant hybrid seed corn leads to a 50 percent increase in the average yield per acre without increasing the cost to the farmers who use the new technology. If the producers in the corn production industry were price takers, what would happen to the following? a. the price of corn b. the profitability of corn farmers who quickly adopt the new technology c. the profitability of corn farmers who are slow to adopt the new technology d. the price of soybeans, a substitute product for cornQ94 A perfectly competitive firm is currently producing an output level where price is $10.00, average variable cost is $6.00, average total cost is $10.00 and marginal cost is $8.00. To maximise profits, this firm should... a. Increase its output. b. Increase the market price. c. Decrease its output. d. Produce zero output. e. Not change its output.
- Consider a firm that operates in a market that competes aggressively in prices. Due to the high fixed cost of obtaining the technology associated with entering this market, only a limited number of other firms exist. Furthermore, over 70 percent of the products sold in this market are protected by patents for the next eight years. Does this industry conform to an economist’s definition of a perfectly competitive market?The information below applies to a competitive firm that sells its output for $45 per unit. When the firm produces and sells 100 units of output, its average total cost is $24.5.When the firm produces and sells 101 units of output, its average total cost is $24.65. Suppose the firm is currently producing and selling 100 units of output. Should the firm increase its output to 101 units? a. Yes, because the marginal revenue exceeds the marginal cost. b. Yes, because the marginal revenue exceeds the average total cost c. No, because the marginal cost exceeds the marginal revenue. d. No, because the average total cost exceeds the marginal revenue.Marginal Analysis II Question 1 Assume that a competitive firm has the total cost function: TC=1q3−40q2+870q+1500TC=1q3-40q2+870q+1500 Suppose the price of the firm's output (sold in integer units) is $700 per unit. Using calculus and formulas to find a solution (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. 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. Rearrange the equation to the quadratic form aq2 + bq + c = 0, where a, b, and c are constants. Use the quadratic formula to solve for q: q=−b±b2−4ac−−−−−−−√2aq=-b±b2-4ac2a For non-integer quantity, round up and down to…
- 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.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 20 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 30 firms. If there were 10 firms in this market, the short-run equilibrium price of steel would be per ton. At that price, firms in this industry would…In a certain perfectly competitive market, there are 150 firms, and the short-run total cost function of each is given by Short Term Total Cost (q) = 3q³ - 16q² + 40q + 432 (note that "q" is the quantity produced by the firm). Besides that, any firm (active or potential entrant) can produce according to the total cost function Short Term Total Cost (q) = 2q³ - 16q² + 148q (desconsidering the entrance or exit of firms). Furthermore, the inverse aggregate demand function of this market corresponds to Pd(Q) = 676 - 0.56Q (which "Q" is the total quantity demanded). Based on this information, please check True or False in the arguments below: 1-The profit that each producer makes in the short-run competitive equilibrium is greater than the profit that each producer makes in the long-run competitive equilibrium. True or False? 2-In the long-term competitive equilibrium, there are 200 active firms in this market. True or False? 3-The price p* = 105 and the quantity Q* = 750 composes the…