Consider a perfectly competitive market where the demand for the good is given by Q=889-16p, where Q denotes the quantity demanded at price p. On the supply side, the industry supply function is given by Q=-12+4p. Find the equilibrium price, p*, and quantity, Q*, in this market. Then enter below the value of Q*, i.e., the value of the equilibrium quantity.
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- A perfectly competitive industry has 150 identical firms. At a price of $8, the typical firm supplies 10 units of output, so the market quantity supplied is nothing units of output. (Enter your response as an integer.)Price determination in a perfectly competitive economic market is defined as the point where Qs and Qd intersect to determine equilibrium. A. True B. FalseConsider 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).
- 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.There are 1000 pear producers that have identical cost functions, C= 200+0.025q2 where q is the number of crates of apples produced. The producers operate in a perfectly competitive market. The supply curve of each producer is ________ The total supply curve for the market is ________ At a price of 100, the elasticity of supply for the market is _________, meaning that supply is _________ For the answer options, refer to the attached image.Suppose that many small firms operating in the perfectly competitive market set-up. All firms are identical and have the total cost function c (q)= 40+8q+(q^2/10), where q is the individual firm’s production amount. The market inverse demand function is described as P= A - (Q/50), where A>0 is constant, and Q is the market quantity. In the short-run equilibrium, there are 78 firms in the market, and firm’s maximum profit is $22.5 a) find the short-run equilibrium price b) suppose that in the long-run, firms cost function is still the same C (q)= 40+8q+(q^2/10) (assume LR cost function has fixed component of 40) Find the long-run equilibrium number of firms? (Assume market demand in LR = market demand SR)
- If the Long Run Price in a perfectly competitive market is 5 and the market demand is Q=50-P and if the LRMC cuts the LRAC at q=5 then the number of firms in the market is ...The market for paperback detective novels is perfectly competitive. Market Demand is given by Q=393-7P. Market Supply is given by Q=3P-9. Suppose 55 units are bought to the market. Consider the Marginal Cost of production for these 55 units. What is the maximum Marginal Cost of production of these 55 units? Enter a number only, do not include the $ sign. Hint: 55 doesn't have to be the market quantity.Consider a competitive firm with a short-run cost function C(q)=100q-q^2+(1/5)q^3+450(a) Suppose that the market price is $205. Find the optimal output. Find the profitor loss at the optimal output. Will the firm stay or shutdown? Why?(b) Suppose that the market price is $105. Find the optimal output. Find the profitor loss at the optimal output. Will the firm stay or shutdown? Why?(c) Suppose that the market price is $205 and there is a tax of $65 per unit produced. Find the optimal output. Find the profit or loss at the optimal output. Will the firm stay or shutdown? Why?
- Which of the following is a defining characteristic of all perfectly competitive markets? Group of answer choices Each firm in the market faces a perfectly inelastic demand curve. All firms sell the same standardized product. Consumers display strong brand loyalty. The market demand curve is perfectly elastic.Suppose Firm X is a dominant firm in a market where the market demand is Q = 1200 -2p. Once Firm X sets its price, those small competitors set their prices a little lower so that they can always sell up to their capacity. Assume the small firms’ combined capacity is 100 units. Further assume Firm X’s marginal cost is 50. Answer the following questions. Let Q^D be the quantity produced by the dominant firm. Write down the residual demand function faced by Firm X. (Hint: Think about how Q and Q^D are related.) Find Firm X’s profit-maximizing price.Demand for microprocessors is given by P = 35 – 5Q , where Q is the quantity of microchips (in millions). The typical firm’s total cost of producing a chip is Ci = 5qi, where qi is the output of firm i. a) Under perfect competition, what are the equilibrium price and quantity?