If each of 100 firms in a competitive industry has the following Marginal Cost function (i.e., firm supply function), P = 10 +100Qi What is the short-run industry supply function? (where lowercase subscript "i" is for the firm and uppercase "I" is for the Industry)
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If each of 100 firms in a competitive industry has the following Marginal Cost function (i.e., firm supply function),
P = 10 +100Qi
What is the short-run industry supply function? (where lowercase subscript "i" is for the firm and uppercase "I" is for the Industry)
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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.Consider a competitive industry with a market demand curve of P = 120 - Q, where P is market price and Q is the quantity demanded in the market. In the short run there are 4 firms in the industry, and each firm has a total cost function of TC = 144 + q^2, where q is output of the individual firm. The short-run industry supply curve Qs is?Industry X has a market demand curve given by the equation P = 100 – Q/100, where P is the market price, and Q is industry-wide output.100 perfectly competitive firms currently operate in industry X. Each of these firms has a total cost function given by TC = 100 + 10q + q2, where q is the output of the individual firm, and thus MC = 10 + 2q. (a) Would any of the firms in industry X ever shut down in the short run? If so, what is the cut-off price required for firms to operate – Shut-down price? (b) What is the market output in the short run? What is the market price? How much do individual firms produce? Do firms earn economic profits? [Hint: you will first need to work out the industry supply curve.] *Note: when finding answers for this question online, they wrote to first find the AVC function for part a but I don't understand how they found that AVC function first- any help would be much appreciated!
- Suppose you are given the following information about a particular industry: QD = 6500 – 100P Market Demand QS = 1200P Market Supply TC(q) = 722 + q2/200 Individual firm’s total cost function MC(q) = q/100 Individual firm’s marginal cost function Assume that all firms are identical and that the market is characterized by perfect competition. Find an individual firm’s supply curve. How many firms are there currently in the market? Find the equilibrium price and equilibrium market quantity. How much is output supplied by each firm, and how much profit does each firm make in the short run? Would you expect to see entry into or exit from the industry in the long run? Explain. What effect will entry or exit have on the market equilibrium? Find the long-run equilibrium price, the number of firms, and the amount of output each firm produces in the long run.Suppose you are given the following information about a particular industry Q(d) = 6500 - 100P Market Demand Q(s) = 1200P Market Supply C(q) = 722 + q^2/200 Firm total cost function MC(q) = 2q/200 Firm marginal cost function Assume that all firms in this industry are identical and that the market is characterized as perfect competition. Find the equilibrium price, the equilibrium quantity, the output supplied by the firm, and the profit of each firm. Would you expect to see entry into or exit from the industry in the long run? What effect would this entry or exit have on market equilibrium? What is the lowest price at which each firm would stay and sell its output in the long run? Is profit positive, negative or zero at this price? What is the lowest price at which each firm would sell its output in the short run? Is profit positive, negative, or zero at this price?A competitive industry consists of 100 identical firms. The short run cost function of each firm is given by C(q)=200q+15q^2 What is the market supply function?
- A competitive industry consists of 100 identical firms. The short run cost function of each firm is given by C(q)=200q+15q^2 What is the supply function for each firm?Given the cost information in the previous question and an industry demand function of Q = 2400 - 5p, how many firms are in this industry in the long-run equilibrium?Can you help with parts d,e and f please? A perfectly competitive firm has the following total cost function: TC = 4,500 + 2q + .0005q2 where TC is total cost in dollars and q is the quantity of output produced. a. Assume this perfectly competitive market consists of 800 firms with cost structures identical to the one above. What is the equation for the market supply curve? Assume the market demand curve is: Qd = 5,600,000 – 400,000P where Qd is the quantity demanded in the market and P is the commodity’s price in dollars. b. What is the market’s equilibrium price? c. Assuming the market is in equilibrium, using marginal revenue and marginal cost determine the firm’s profit-maximizing quantity of output? What does the profit-maximizing firm’s total economic profit equal? Assume the total cost function above: TC = 4,500 + 2q + .0005q2 is associated with the short-run total cost function that corresponds to the minimum point on the long-run average total cost curve and this is a…
- A firm sells its product in a perfectly competitive market. Its total cost function is: TC = 900 - 20Q + Q2where TC is total cost and Q is output level.a. Find the firm’s average total cost function. b. Find the firm’s average variable cost function. c. Find the firm’s marginal cost function. d. Given the price is $100, what is the profit-maximizing output level? e. Given the price is $100, what is the profit level? f. Over time, is there going to be entry or exit in this competitive market? Why?If each competitive firm in an industry has the short-run cost function C=50 +5q+q^2, and themarket price is $35, what is the profit-maximizing output level for each firm? What is the totalrevenue? What are the profits?Assume that a competitive firm has the total cost function: TC=1q3−40q2+820q+1900 T C = 1 q 3 - 40 q 2 + 820 q + 1900 Suppose the price of the firm's output (sold in integer units) is $600 per unit. How many units should the firm produce to maximize profit? What is the total profit at the optimal output level? Please specify your answers as integers.
