In the US cotton market, there are 500 identical competitive farms, each farm having the cost function C(q) = 162 +10q + 0.5q² where q is the quantity of cotton in tons produced by each farm. The market demand curve is given by Qd = 10,400 – 50p. (a) Calculate the market equilibrium price p*. (b) Suppose the government gives each farm a subsidy of $8 per ton. Calculate the long- run market price. (c) How many farmers will there be in the cotton market in the long run?
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- Suppose the market for pizzas in the U.S. is perfectly competitive and is characterized by the following demand and supply equations (Q = quantity and P = Price): Demand for pizza: Qd = 100 – P Supply of pizza: Qs = 2P − 50 A) Find the market clearing equilibrium price P* and quantity Q*. B) Find the the consumer surplus and producer surplus at the equilibrium. C) Suppose that the U.S. imposes a price ceiling at $40. What is the quantity demanded by consumer (Qd’)? What is the quantity supplied by suppliers (Qs’)? D) Suppose that the U.S. imposes a price ceiling of $40. Is there a shortage or surplus for pizzas? E) Suppose that the U.S. imposes a price ceiling of $40. What is the new CS’ and PS’? Assuming that the government purchases/provides the surplus/shortage. Under the same assumption, what is the deadweight loss caused by the price floor?The competitive market for Botox procedures is characterized by the following supply and demand curves: QS = −2,000 + 10P and QD = 24,000 −16P where P is the price of the procedure and QS is the quantity supplied and QD is the quantity demanded. a: Solve for the equilibrium quantity and price in the Botox market.b: Neatly graph the market for Botox procedures, showing the vertical intercepts of the supplyand demand curves. Show the equilibrium.In a given market three firms compete by choosing quantity simultaneously. The demand schedule is this market is P(Q) = 300 – 2Q. All the firms have the same cost function: C(q) = 140q - 100. (i) What is the equilibrium price, the quantity produce by each firm, the profit earned by each firm and the consumer surplus? Carefully explain your derivation and provide reasoning.
- Given the demand function P = 64 - Q and the supply function: P = 4 + ¼ Q. Determine:a. Market equilibrium price and quantityb. The size of the consumer surplusc. The amount of the producer surplus.Suppose that the demand for broccoli is given by: Q=1000-5P where Q is quantity per year measured in hundreds of bushels and P is the price in dollars per hundred bushels. The long-run supply curve for broccoli is given by: Q=4P-80 Show that the equilibrium quantity here is Q= 400. At this output, what is the equilibrium price? How much in total is spent on broccoli? What is consumer surplus at this equilibrium? What is producer surplus at this equilibrium? How much in total consumer and producer surplus would be lost if Q= 300 instead of Q= 400? Show how the allocation between suppliers and demanders of the loss of total consumer and producer surplus described in part (b) depends on the price at which broccoli is sold. How would the loss be shared if P= 140? How about if P= 95? What would be the total loss of consumer and producer surplus if Q= 450 rather than Q= 400? Show that the size of this total loss also is independent of the price at which the broccoli is sold. Now suppose the…Given that the demand function P = 15 - 0.25Q and the supply function P = 0.2Q + 6. Determine:a. Market equilibrium price and quantityb. The size of the consumer surplusc. The amount of the producer surplus.
- In a perfectly competitive market for cheese with downward sloping demand and upward sloping supply, the equilibrium price is $12 per kilo. If the government imposes a price ceiling of $10, we can conclude that the government policy will: Select one: a. reduce the number of units sold only if demand is elastic b. decrease producer surplus and decrease total surplus c. reduce the number of units sold only if demand is inelastic d. decrease producer surplus but increase total surplus e. increase producer surplus but decrease total surplusAssume 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?Only typed answer Each firm in a competitive market has a cost function of C(q) = q − q 2 + q 3 . The market has an unlimited number of potential firms. The market demand function is Q = 24 − P. a. Determine the long-run equilibrium price, the quantity per firm, the market quantity, and the number of the firms. b. How do these values change if a tax of $1 per unit is collected from each firm? c. How would these values change if instead of a tax the government implements a price floor of 30?
- 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. Demand: P = 100 – QD Supply: P = 10 + QS 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 ceilingConsider the perfectly competitive market for an agricultural commodity. The direct market demand curve is Q(P) = 720 − 15P and the direct market supply curve is Q (P) = 15P. The market equilibrium quantity is 360 units at a price of $24. Suppose the government imposes a price floor at P = $36.00 and uses a deficiency payment program to implement the floor. What quantity will be sold and what prices will consumers and producers face under this policy? The new equilibrium quantity is 540 units. Consumers pay $12 and the producers receive $36. Find the: a. Change in consumer surplus and producer surplus. b. Government Expenditure. c. Change in social surplus.Using diagrams and calculations, compare the welfare outcomes of the following markets to that of a perfectly competitive market. Assume the inverse market demand for the product is P = 1000 – 2Q and that the marginal cost of production is MC = Q. Remember that a perfectly competitive firm will operate at an allocatively efficient equilibrium. You may only use one diagram per answer. First degree price discriminator compared to perfect competition please show what the diagram would look like as I am able to do the calculations but the diagram is confusing me to some extent