Suppose there is a perfectly competitive industry where all the firms are identical with identical cost curves. Furthermore, suppose that a representative firm's total cost is given by the equation TC = 100+ q² + 2q where q is the quantity of output produced by the firm. You also know that the market demand for this product is given by the equation P = 1000 - 2Q where Q is the market quantity. In addition you are told that the market supply curve is given by the equation P = 100+ Q. What is the firm's profit maximizing level of production? (Note: 1. If your answer is 100, please key in 100. There is no need to key in 100.0 or 100.00. 2. Please key in a number directly. Please do not key in "unit")
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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.Conigan Box Company produces cardboard boxes that are sold in bundles of 1000 boxes. The market is highly competitive, with boxes currently selling for $100 per thousand. Conigan's total and marginal cost curves are:TC = 3,000,000 + 0.001Q2MC = 0.002Qwhere Q is measured in thousand box bundles per year. Calculate Conigan's profit maximizing quantity. Is the firm earning a profit?Consider the market for ice cream. Suppose that this market is perfectly competitive. The cost structure of the typical ice cream producer is as follows. Average total cost is equal to 50 1 1 ATC(Q) +÷Q, average variable cost is equal to AVC(Q) =;Q, and marginal cost is equal to 2 MC(Q) = Q. Now, suppose that a new scientific study comes out that shows that soil pollution from rock salt (a key input for making ice cream) is extremely hazardous to human health. In response, the government decides to impose harsh re-zoning restrictions on any land once used for making ice cream. This reduces the market rent for land used to make ice cream, which in turn lowers the opportunity cost of operating an ice cream factory. This reduction in the opportunity cost of capital causes the total fixed cost of ice cream production to fall to 32, but there is no change to variable cost. Give formulas for the typical ice cream producer's new average total cost curve ATC(Q) and marginal cost curve MC(Q).
- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 0.5Q^2The market demand curve for this product is: Qd= 120 −PThere are 9 firms in the market.a) What are each firm’s: fixed cost, variable cost, marginal cost, and average total cost? Graph the average-total-cost curve and the marginal-cost curve.b) Give the equation for each firm’s supply curve.the average-total-cost curve at its minimum? What is marginal cost and average totalc) Give the equation for the market supply curve for the short run in which the numbercost at that quantity?Suppose that each firm in a competitive industry has the following costs: where q is an individual firm’s quantity produced. The market demand curve for this product is where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. What is each firm’s fixed cost? What is its variable cost? Give the equation for average total cost. Graph average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is average-total-cost curve at its minimum? What is marginal cost and average total cost at that quantity? Give the equation for each firm’s supply curve. Give the equation for the market supply curve for the short run in which the number of firms is fixed. What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Calculate each firm’s profit or loss. Is there incentive for firms to enter or exit? In the long run with…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…
- Suppose that each firm in a competitive industry has the following as the Total cost: TC=50+ ½q2 Where q is an individual firm’s quantity produced. The market demand curve for this product is Demand: Q = 120 – P Where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market What is each firm’s fixed cost? What is its variable cost? At what quantity efficiency of scale would be achieved? Give the equation for each firm’s supply curve Give the equation for the market supply curve for the short run What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Is there incentive for firms to enter or exit? In the long run with free entry and exit, what is the equilibrium price and quantity in this market? In the long-run equilibrium, how many firms are in the market? I want the subparts 4,5,6 to be solved. Thank youSuppose that each firm in a competitive industry has the following as the Total cost: TC=50+ ½q2 Where q is an individual firm’s quantity produced. The market demand curve for this product is Demand: Q = 120 – P Where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market What is each firm’s fixed cost? What is its variable cost? At what quantity efficiency of scale would be achieved? Give the equation for each firm’s supply curve Give the equation for the market supply curve for the short run What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Is there incentive for firms to enter or exit? In the long run with free entry and exit, what is the equilibrium price and quantity in this market? In the long-run equilibrium, how many firms are in the market?Suppose there are 500 identicsl competitivd firms producing widgets and assume the total cost curve for each firm is given as, TC= 5q2+wq+10 and marginal cost is given as MC=10q + w where w is the widget maker's wage and q is the firm's output. If w=$50 what is the equation of the firms short run supply curve? 1) what is the average firm's profit (losses) at the new price of $61? 2) is the average firm in the short-run or long run? given it's profit(losses) should the firm continue to operate? 3) what would you predict, based on the perfectly competitive model of markets, will happen in this industry in the long run?
- Your firm "We Work Eot U" rents access to shared open office spaces for a price of S540 per year. The market is perfectly competitive as consumers have many of these "We Work" rental companies to choose from. Your firm's total revenue function is written: TR = (540) Q. The total cost function is written: TC = 80,000+ 40Q + 0.5Q? a. To maximize profits, what is the optimal number of office spaces to rent? Show your work. b. How much (in dollars) are total profits at the profit-maximizing output level? Show your work. c. In the long run, assuming no barriers to entry and exit into this industry, what will happen to profits and to the market price?Suppose there are 5 firms in this industry, each of which has the cost curves previously shown.Consider a competitive industry with a large number of firms, all ofwhich have identical cost functions c(y) = y^2 + 1 for y > 0 and c(0) = 0. Supposethat initially the demand curve for this industry is given by D(p) = 52 − p. What is the smallest price at which the product can be sold ?