A firm has the demand function P = 500 - 1Q and the cost function C = 100 + 2Q + Q². Marginal cost is increasing in Q. Select one: O True O False The firm's demand function suggests perfect competition. Select one: O True O False The firm's marginal revenue function is MR = 500 - Q Select one: O True O False Given the firm's cost function, its fixed costs must depend on Q. Select one: O True O False
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- Consider a competitive industry with a large number of firms, all ofwhich have identical cost functions c(y) = y2 + 1 for y > 0 and c(0) = 0. Supposethat initially the demand curve for this industry is given by D(p) = 52 − p.(a) What is the supply curve of an individual firm?(b) If there are n number of firms, what is the industry supply curve?(c) What is the smallest price at which the product can be sold?(d) Based on your answers to parts (a)-(c), explain in detail theequilibrium points based on the market activity with respect to the price, firmand industry.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?The table below shows the average cost (AC) for a purely competitive market. The average revenue (AR) is constant at RM5 per unit and the firm’s total fixed cost (TFC) is RM4. If the average revenue falls to RM3 per unit, calculate the firm’s new profit or loss at the equilibrium. Based on your answer, should the firm continue or stop the production? Justify. Output (Units) Total Revenue (RM) Average Cost (RM) Total Cost (RM) Marginal Cost (RM) Marginal Revenue (RM) 1 8.0 2 5.5 3 4.0 4 3.5 5 3.8 6 4.5 7 6.0
- Assume a perfectly competitive market. Draw the average total cost, average variable cost,marginal cost, and marginal revenue curves for a good. Determine the profit-maximizing levelof output given that the price of the good is above the minimum average variable cost butbelow the minimum average total cost. Is the profit at the chosen price point positive,zero, 0r negative? Shade the area representing profit. Assume a monopoly market. Draw the average total cost, marginal cost, marginal revenue,and demand curves for a good. At what price will the monopolist sell? What is theprofit-maximizing level of output at this price? Shade the area representing profit.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?If the demand function faced by a firm is:Q = 90 – 2PTC = 2 + 57Q – 8Q2 + Q3 Determine the best level of output for the above question by the MR and MCapproach.Question 2: Determine the best level of output for a perfectly competitive firm that sells its product at P = $4 and faces TC = 0.04Q3– 0.9Q2 + 10Q + 5. Will the firm produce this level ofoutput? Why? Question 3: Suppose that the production function is given as follows:TPL = 10L + 5L2 + L3Find the total product, Marginal product and average product when L = 5. Question 4: Find the optimum level of output and profit from the cost functionTC = 50 + 6Q2 and price P = 100 – 4QAlso derive marginal cost and marginal revenue.
- Suppose that a perfectly competitive firm faces a market price of $7 per unit, and at this price the upward-sloping portion of the firm's marginal cost curve crosses its marginal revenue curveat an outpuut level of 1,400 units. If the firsm produces 1,400 units, it's average variable costs equal $6.50 per unit, and its average fixed costs equal $0.80 per unit. What is the firm's maximizing (or loss-minimizing output level? What is the amount of it's economic profits (or losses) at this output level?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…Faye is an entrepreneur considering whether to enter the market for providing websites to universities offering online learning. The market is currently perfectly competitive, and the market-clearing price is $10,000 per client. Her marginal cost is given by the equation MC = 200Q. a. In this market, what is Faye’s marginal revenue function? b. If Faye enters the market, how many website clients will she have, and what will her profit be? You can assume no fixed cost. Now imagine Faye asks you for advice. She knows you have just taken this course, and you learned about market power. c. Explain two ways Faye can achieve greater market power in this market. Faye takes your advice, and she is now the monopolist in a new market, where the demand curve is given by Q = 300,000 – 1,000P d. What is Faye’s new marginal revenue curve? e. In this new market, how clients will she have, and at what price will she sell her services? Now imagine you see all the profits Faye is making and you decide…
- Start from a market with perfect competition. For a representative producer, the long-term marginal cost is given by LMC=9Q2−20Q+50LMC=9Q2−20Q+50 and the long-term total cost function is LTC=3Q3−10Q2+50QLTC=3Q3−10Q2+50Q Assume that the price on the market right now is SEK 50. a) How much profit or loss does the producer make in the initial situation? b) Describe in detail what will happen in the market and why c) What will the equilibrium price be? d) how much will our producer produce at market equilibrium?Suppose the market for coffee is characterized by perfect competition. Assume that all firms are identical.The long run average total cost (LATC) and long run Marginal cost function (LMC) functions for arepresentative firm are given as: LATC = Q + 5 + 25/Q and LMC = 2Q + 5. Total demand from all consumers in this market is given by P = 500 – Q What quantity will a firm produce in the long run?a. 10 unitsb. 15 unitsc. 20 unitsd. Zero unitse. 5 units 2. What is the price that each firm will change in the long run?a. $15b. $20c. $30d. $40e. $50 How many units will be traded in the market in the long run?a. 1000b. 970c. 950d. 900e. 485Suppose 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.e) 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.f) In the long run with free entry and exit, what is the equilibrium price and quantity in thid market. Is there incentive for firms to enter or exit? h) In this long-run equilibrium, how much does each firm produce? How many firms are in the market?
