Suppose there are 1,000 identical firms producing diamonds and the total cost curve for each firm is given by: C = q^2 + wq where q is the firm’s output level and w is the wage rate of diamond cutters.
(a) Calculate the firm’s profit function, π(w, p).
(b) If w = 10, what will be the firm’s short-run supply curve and the industry’s supply curve?
(c) How many diamonds will be produced at a price of $20 each? How many more diamonds would be produced at $21?
Suppose there are 1,000 identical firms producing diamonds and the total cost curve for each firm...
Exercise 1. Short-Run Industry Supply Curve In a perfectly competitive market there are n firms with identical technology: yi=Li½Ki½. Each firm’s cost function is Ci=wLi+rKi where w=r=1. a) In the short run all firms have a fixed level of Ki=100, so that yi=10Li½ and Ci=Li+100. What is the cost function Ci(yi)? What is the short-run average cost function ACi(yi)? b) What is each firm’s marginal cost function MCi(yi)? What is each firm’s short-run supply function si(p)? Find the inverse of...
3) There are 1,000 identical perfectly competitive real-estate firms selling office space in Syracuse, NY. The Marginal Cost of producing each square foot of space is constant and equal to $20. There are no fixed costs of production. So the firm’s short-run and long-run cost function is c(q) = 20q. The market demand is Q = 10,000 - 250p. a) What is the equilibrium price and quantity of office space in the real-estate market in the short-run? How much does...
The market for sweet potatoes consists of 1,000 identical firms. The market demand curve is given by Qd = 1000 – 5P. Each firm has a short-run total cost, SRTC = 100 + 100q + 100q^2 , where q is output. In short-run market equilibrium, each individual firm will a. earn a profit. b. earn a loss. c. earn zero economic profit. d. produce an output of q = 4.
7. Short-run supply and long-run equilibrium Consider the competitive market for copper. 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 copper. Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 20 firms in the market. (Hint:...
7. Short-run supply and long-run equilibrium Consider the competitive market for copper. 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 copper.Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 20 firms in the market. (Hint:...
Suppose all firms in the market are identical. Each firm has a long run total cost curve LTC = 40Q – Q2 + 0.01Q3. The market demand curve is Q = 20,000 – 100P. Find the long run equilibrium quantity per firm, price, and number of firms in the market.
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 + q 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 = 900 - 2Q where Q is the market quantity. In addition, you are told that...
In a perfectly competitive market, a firm has the following short-run total cost function: C(q)=16+4q+q2 The market demand is Q(p)=220-p a. Show that marginal cost curve passes through the minimum point of average cost curve. Draw a figure to show it. b. Find the firm’s individual short-run supply function. Draw it on the above figure. For the following questions, suppose that there are currently 10 identical firms in this market. c. What is the market supply curve? What are the...
6. Short-run supply and long-run equilibrium Consider the competitive market for copper. 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 copper. Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 20 firms in the market. (Hint:...
Suppose that each firm in a competitive industry has the following costs:Total Cost: TC=50+1/2 q2Marginal Cost: MC=qwhere q is an individual firm's quantity produced.The market demand curve for this product is:Demand QD=160-4 Pwhere P is the price and Q is the total quantity of the good.Each firm's fixed cost is $_______ What is each firm's variable cost?1/2 q50+1/2 q1/2 q^{2}qWhich of the following represents the equation for each firm's average total cost?50/q+1/2 q50+1/2 q50/q1/2 qComplete the following table by computing the...