3. In a short-run competitive market, 100 firms each has a supply function S1 (p) = p - 2 and 50 firms each has a supply function S2(p) = 3p – 12. The market demand is given by D(p) = -100p + 500. What will be the industry supply in the short-run equilibrium? 5900 В. 13 900 С. 7 D. 0 А. 150
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- Consider a perfectly competitive market, where the current number of firms is 50. Each firm has one unit of capital and can product q(1, L) = √L units of output with one unit of capital at a cost v per unit, and L units of labor at a cost w per unit in the short-run. a) Find a firm's short-run supply curve, qs(p), and the industry short-run supply curve, Qs(p). b) Given the market demand, = 10000 - 50p, and the industry short-run supply curve, find the short-run equilibrium price and quantity assuming that w = 1.Suppose that the firm operates in a perfectly competitive market. The market price of his product is$10. The firm estimates its cost of production with the following cost function: TC=10q-4q2+q3 A. What level of out put should the firm produce to maximize its profit? B. Determine the level of profit at equilibrium. C. What minimum price is required by the firm to stay in the market?consider the market for corn in August 2020, a period where grain prices were quite low and the market for corn was in a short-run equilibrium. Draw a graph that shows supply and demand analysis for corn in August 2020 (put P on the vertical axis and Q on the horizontal axis). This graph will serve as a starting point for your analysis in Questions 2 and 3.In drawing this graph, please assume that the demand curve is downward sloping and supply curve is upward sloping Clearly show the market equilibrium in August 2020. Label the supply curve as S0; demand curve as D0; the equilibrium price as P0; and equilibrium quantity as Q0.
- Consider a competitive market in which the market demand for the product is expressed as P = 75 ‑ 1.5Q, and the supply of the product is expressed as P = 25 + 0.50Q. Price, P, is in dollars per unit sold, and Q represents rate of production and sales in hundreds of units per day. The typical firm in this market has a marginal cost of MC = 2.5 + 10q. Determine the equilibrium market price and rate of sales (output). Show your working. Determine the rate of sales (output) of the typical firm, given your answer to part (i) above. If the market demand were to increase to P = 100 ‑ 1.5Q, what would the new price and rate of sales in the market be? What would the new rate of sales (output) for the typical firm be?. Show your working If the original supply and demand represented a long‑run equilibrium condition in the market, would the new equilibrium (iii) represent a new long‑run equilibrium for the typical firm? ExplainSuppose that the firm operates in a perfectly competitive market. The market price of his product is $4. The firm estimates its cost of production with the following cost function: TC=50+20q-5q2+0.33q3 a. What level of output should the firm produce to maximize its profit? b. Determine the level of profit at equilibrium. c. What minimum price is required by the firm to stay in the market?Consider a perfectly competitive market, where the current number of firms is 50. Each firm has one unit of capital and can product q(1, L) = √L units of output with one unit of capital at a cost v per unit, and L units of labor at a cost w per unit in the short-run. a) Derive each firm's total cost function, c(q). B) Find a firm's short-run supply curve, qs(p), and the industry short-run supply curve, Qs(p).
- The marginal cost of a competitive firm is MC(Q)=4Q+7. The market price is 80. Suppose the current output level is Q=15. At this point, would the firm like to increase or decrease its output level? Enter 1 for increase, 2 for decrease.Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q^2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q^s = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., Q^s = f(p)? If demand is given by Q^D = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]. Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q S = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., Q S = f(p)? If demand is given by Q D = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]
- A firm operates in a perfectly competitive market. The market price of its product is 4 birr and the total cost function is given by TC= 1/3 Q3 - 5Q2+20Q + 50, where TC is the total cost and Q is the level of output.a) What level of output should the firm produce to maximize its profit?b) Determine the level of profit at equilibrium.c) What minimum price is required by the firm to stay in the market?suppose there are two technologies for producing steel. under technology a, a firm’s short-run total cost curve is 1 2 ( ) 100 10 2 a stc q q q (for which ( ) 100 a smc q q ), and using technology b it is 2 () 2 6 b stc q q ( () 4 b smc q q ). assuming there are 100 firms using technology a and 400 using b, determine the short-run market supply curve.Question 23 A competitive firm has a total cost function in dollars of the form C(q)= 100–4q + q^2, where q is output. Suppose the market price is $10 per unit of output. What is the firm’s short run point elasticity of supply? a) 20/7 b) 5/7 c) 10/7 d) 0.5 e) 2