The Market for Good X is perfectly competitive, with market supply and own-price demand curves given as q, = -25000 + 3000p 9a = 135000 – 5000p a. Determine the equilibrium price and quantity in the market for good x. (Note: You are not anlayzing an individual firm here. You are analyzing the entire market). Suppose the individual firm's average total costs are dfined by TC =q3 – 3q2 + 28q + 2 b. What is the firm's demand curve (don't give me back the industry demand curve. The firm's demand curve is what I want.) c. find the profit maximizing level of output for the firm (I've given the marginal cost curve below). MC = q? – 6q + 28 d. If this firm is making a profit (loss) how much is the profit (loss)?
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b,c,d would be amazing. THank you
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- Suppose that all firms in a constant-cost industry have the following long-run cost curve:c(q) = 4q2 + 100q + 100The demand in this market is given by QD = 1280 - 2p. Suppose the number of firms in the market is restricted to 80a. Derive the supply curve with this restriction. Find the market equilibrium price and quantity with the restriction.b. If firms are allowed to buy and sell these permits in an open market, what will be the rental price of permits? Will firm’s that own permits make profit? Briefly explain.c. How much deadweight loss is generated by the permit system? Provide a graph showing the region of this deadweight loss.d. Suppose the government abandons the permit system and simply imposes a fixed fee on firms in the market. If the fee is set equal to the permit price you found in c., what will be the equilibrium price, quantity, number of firms and deadweight loss?Signaling. There are two firms, A and B. There are two time periods, 1 and2. There is one commodity, that can be produced by both firms, at linear cost. So,if firm i has marginal cost i, then the cost of producing q units of the commodity is ciq. The inverse demand for the commodity, at any given moment, is 100 − 4Q,where Q is the aggregate supply at that moment.In period 1, firm A is alone in the market. Firm A’s marginal cost is determinedby Nature, either it is 10 or it is 2, each with probability 1/2. A knows it’s cost.Firm A produces some quantity in period 1 and firm B observes this. Betweenperiods 1 and 2, firm B decides to enter the market or not. After making thisdecision, B is told firm A’s cost. It is too late at this point for B to change itsaction.In period 2, if B is in the market, then A and B compete on quantity.(1) In words, what are the steps to solving this problem?(2) There are two possible quantity-competition games that happen in this game.Solve them both.(3) Now…Question 1a. Estimate the equilibrium price and quantity of the market whose demand and supply function are pd=(q+)^2+100 and ps=(q+2)^2 respectively. 1b. If the region shaded grey in the diagram above represents a set, derive the system of inequalities that define that region. 2. The profit function, in dollars for a product given by p(x)= -x^3 + 76x^2 - 380x - 2800 Where x is the number of units produced and sold. If the break-even point occurs when 10 units are produced and sold a. Find the quadratic factor of P(x) b. Find finds the number of units other than 10 that give break-even for the product.
- estion 1:There are 5000 identical individual buyers in the market for commodity X, and the demand function for commodity X is given by given by Qdx = 24 -4Px. There are 500 identical producers of commodity X, each with a Supply function given by Qsx = 40Pxa) Find the market demand function b) Find the market supply function for commodity X keeping maximum price 8c) Mathematically find the equilibrium price and the equilibrium quantity. d) Make on (the table given below) market demand schedule and Market Supply Schedule, keeping maximum price 8e) Plot, on one set of axes, the market demand curve and the market supply curve for commodity X and show the equilibrium point.Market Demand SchedulePrice QuantityMarket Supply SchedulePrice QuantityAssume 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?Note that parts f) and g) do not depend on the other parts and could be completed before or after parts a) to e). Two different boutique wineries supply two towns: town A and town B. Winery 1 supplies town A and Winery 2 supplies town B. Both wineries have a constant marginal cost c = 20. Assume that consumers are indifferent between the wines from different wineries and that they purchase wine only in the town they live. Demand for wine in town A is given by pA=40−12qA; the demand for wine in town B is given by pB=70−qB. f) For parts f) & g) only, please assume that the total demand for wine (from both towns) is given by p = 125 - Q. Assume now that due to the new government regulation, the companies broke up and went back to operating as Wineries 1 and 2. Each winery can now supply both towns and still has a marginal cost of 20. If Wineries 1 and 2 decide how much wine to produce simultaneously, what is the equilibrium price, quantity sold and profit of each winery? g) For…
- In the free-market equilibrium of a perfectly competitive market, the price of the good is 90 dollars and the elasticity of demand and the elasticity of supply values are respectively Ed* = -6.6 and Es* = 4.1 Suppose the government imposes a per-unit tax equal to 10.4 payable by consumers. Calculate the estimate of the price firms charge consumers in the tax equilibrium using the elasticity values provided above. Then enter that price value below.Consider in perfectly competitive market the following demand and supply equations for sugar:Qd =1000-1000p where Q d is quantity demanded and Qs is quantity supplied. Qs=800+ 1000p Where P is the price of sugar per pound and Q is thousands of pounds of sugar. (a) Suppose that the government wishes to subsidize sugar production by placing a floor on sugar prices of $0.20 per pound. What would be the relationship between the quantity supplied and quantity demand for sugar?(b) Identify market problem specifically at prices 0.2 per pound and what will be scientific recommendation you suggest to solve the identified market problem?Consider 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.
- The demand and supply functions a firm producing a certain product are given respectively by: and , where p is the price per unit and quantities are in millions per year. How much consumer surplus (CS1) do consumers receive when price is P1 = $60?1. Mzanzi-Ndizvo (Pty) is a vaccine manufacturing company that has the following costs ofproduction. Cost of capital is R50 000, labour cost is R30 000, and the total cost the firm is willing to pay is R300,000. Identify the type of this production function and Illustrate it with a 2D graph. 2. If the demand and supply curve for cell phones is given by: D = 80 - 4P, S = 40 + 6P In a market with a price of P for smartphones, compute the number of phones that would be bought and sold at equilibrium.Consider a competitive market for the paper-making industry. The demand curve for paper is represented by the equation P = 120 – 2Q, while supply is represented by the equation P = 60 + Q, where Q is the quantity of paper (measured in tons) and P is the price of paper per ton for each paper mill (measured in dollars). Suppose the industry pollutes the environment by discharging waste chemicals that present a health risk to the public. a) What is the equilibrium price and quantity in the competitive market? b) Suppose the government determines that the social cost of unregulated paper-making activity is $30 per ton of paper. The government decides to internalise this activity through imposing the appropriate per unit tax on paper mills. What would be the socially optimal quantity of paper, and what would be the price for each paper mill?