If in a pure competitive market the supply function is defined by Q=0.5P-0.5 whilst the demand function is represented by P+Q2-25=0.determine the magnitude of the consumer's surplus and producer's surplus
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If in a pure competitive market the supply function is defined by Q=0.5P-0.5 whilst the
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- Under perfect competition, if the market demand function is Qdx = 120-20Px and the market supply function is Qsx = 20Px, what units are the total consumer surplus and producer surplus?The supply function for a product is 2p − q − 60 = 0, while the demand function for the same product is (p + 20)(q + 10) = 8100. Find the market equilibrium point.The market demand for Gucci bags is given by the function P = 75 - 1.5Q. P is price per bag, and Q is output per time period. The market supply is given as P = 25 + 0.50Q. A typical competitive firm that markets this type of bag has a marginal cost of production of MC = 2.5 + 10q. a) Calculate the market equilibrium price for the bags as well as the output rate in the market. b) Calculate how much the typical firm will produce per time period at the equilibrium price. c) If all firms had the same cost structure, how many firms would compete at the equilibrium price computed in (a) above?
- Assume the demand function for a product is given by QD = 20,000 – 10P + 0.4I, where P = price of the product, and I = average income of consumers. Also, assume the supply function of the product is given by QS = 30P. If the market for the product is perfectly competitive, and the average income of consumers is $10,000, what are the equilibrium price and quantity in this market?A competitive firm has a total cost function: TC = 20 + 50q − 6q2 + q3 and a marginal cost function MC = 50 − 12q + 3q2. (a) If the market price is P = $230 per unit, the firm will supply 10 units of the good. Calculate: (i) the profit (ii) the producer's surplus (b) Assume that the market price is P = $50 per unit. Find (i) the level of output supplied by the firm (ii) the firm's profit (use a minus before your answer if the firm incurred a loss) (c) Calculate the range of prices for which the firm will find it optimal to shut down.if a competitive firm's marginal costs always increase with output then at the profit maximising output level, producer surplus is
- 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?Firm A and Firm B sell identical goods The total market demand is:Q(P) = 1,000-1.0P The inverse demand function is therefore: P(QM) = 10,000-10QM QM is total market production (i.e., combined production of firm’s A and B). That is: QM = QA + QB As a result, the inverse demand curve for each firm is: P(QA,QB) = 10,000-10QA-10QB The difference between this example and the example in class is that the two firms have different costs. Firm A has the same cost as in class, but firm B has a different cost function: TCA(QA) = 5000QA TCB(QB) = 5000QB Using the demand function and the cost functions above, what is firm A’s profit function? Using the profit function above and assuming that firm B produces QB, calculate what firm A’s best response is to firm B’s decision to produce QB. (Note: Firm A’s best response should be a function of QB) Using the demand function and the cost functions above, what is firm B’s profit function? Using the profit function above and assuming that firm A…Suppose the profit maximizing firm sells the same good in two individual markets that it is able to keep separate. Since the price elasticity of demand is different in each market, the firm recognizes that rather than charge all customers the same price, it can increase profits by charging different prices in each of the two markets. The demand equations for each market are shown below: Market 1 P=25-2Q Demand The firm's Total Cost Function is: TC=5Q a) What is the optimal output in Market 1? b) What price will be charged in Market 1? Market 2 P=15-Q c) what is the optimal output in market d) what price will be charged in market e) what is the firm's total profit f ) illustrate your answer
- A firm faces inverse demand function p(q) = 120 - 4q, where q is the firm's output. Its cost function is c(q) = c * q. a. Write the profit function b. Find the profit-maximizing level of profit of unit cost c. c. Find the comparative statics derivative dq/dc. Is it positive or negative?A perfectly competitive market is characterized by the following inverse demand function and inverse supply function where Q is output and P is the price in dollars. 1. Suppose that a price ceiling of $30 is set by the government. Calculate the consumer surplus, the producer surplus, and the deadweight loss as a result of the government price ceilingThe price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)