The car manufacturing market consists of 100 identical factories, each with a marginal cost curve represented by MC = 120 + 2Q where Q represents the amount of cars offered. 1.1 Derive the industry supply curve for cars.
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- Consider a competitive market for some commodity x in which some firms are polluters. Firm A: C(xA ) = 25xA and the environmental cost to society is E(xA ) = 15xA. Firm B: C(xB) = (1/10)x (xB x xB ) and the environmental cost to society is E(xB ) = 0. Assume initially that the market operates without any recognition of environmental costs. Both firms are price-takers. Determine for what prices Firm A will provide the good? Does it matter to firm A what quantity is supplied? Find the supply function for Firm B. Assume the market demand for the commodity is given by x(p)=40000/p 3. Find the competitive market equilibrium price and quantity using your answers in 1) and 2) when the firm supplies reflect their ability to compete at a given price. 4. Suppose a planner uses the representative consumer’s utility function, to find the socially optimal allocation of resources to the two firms. Choose (xA, xB, Y) to solve max U(x, y) = (40000)ln(X) + Y Subject to x= xA + xB, xA ≥ 0 xB…Continuing your analysis of the competitive US manufacturing industry from Question 1, withdemand of Qd = 500 – 8P and supply of Qs = 4P – 100, suppose a technological innovationcauses the supply curve to increase, shifting the curve down by $15 for every given quantity Q. Determine the new supply equation. Solve for equilibrium price P2 and quantity Q2. Depict the original supply S1, the new supply S2, and the original demand D1 on theusual P, Q diagram. Label all intercepts (including two intercepts for the demand curveand one intercept for the supply curve). Clearly indicate and label the new marketequilibrium. Graphically indicate the areas of Consumer Surplus (CS2) and Producer Surplus (PS2)that resulted from the new market equilibrium. Compute the values of Consumer Surplus (CS2) and Producer Surplus (PS2) associatedwith the new market equilibrium, clearly indicating the units that CS and PS aremeasured in. Who has benefited from technological innovation, based on the…An airline company determines the price of a seat on a particular route betweencity A and city B to bep = 200 + 0.02n,where p is the airfare price in euro and n is the number of airplane seats sold perday.The travel demand for this route by air has been found to ben = 4700 – 20p Q1 (A)Construct the demand and supply curves for this air transportation market. Q1 (B)Determine the equilibrium price charged and the number of seats sold per day,and the resulting revenues of the company. Q1 (C)Suppose that the airline company decides to connect city A with city B through anindirect flight service via a regional hub at city C. Discuss the implications of thisdecision from the company’s and the customers’ viewpoin
- 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.Below is a hypothetical example of an estimated industry supply curve for automobiles.Qs = 4000P – 50,000PL - 3,700PT – 400,000PK - 1000T Where:P : Average Price of an AutomobilePL: Average Price of Labor per Hour (the wage rate)PT: Average Price of TrucksPK: Price of Capital – Interest Rate – iT: Tariff on Imported Cars Assume:PL = $30 per hour PT = $15,000PK = 10%T = $1,000 PL = $30 per hour Slope parameter associated with the average price oflabor is -50,000PT = $15,000 Slope parameter associated with the average price oftrucks is -3,700PK = 10% Slope parameter associated with the price of capital (theinterest rate) is -1,000 (in your equation express theprice of capital as 10)T = $1,000 Slope parameter associated with the tariff is – 1,000 a. Derive the supply curve for automobiles as a function of price holding all other things constant. b. Graph the supply curve in linear form as a function of price only indicating the quantity supplied at a price of -0- or the vertical…You’ve been given a firm’s production and cost functions:p = 132 −2qMC = 12 + 4q(a) Assume this firm is in a perfectly competitive market. Calculate the equilibrium price andquantity.(b) What is the firm’s profit here?(c) Assume this firm is in a monopoly market. Calculate the equilibrium price and quantity.(d) What is the firm’s profit here?(e) Give an example of a perfectly competitive agricultural market, and give an example of amonopoly agricultural market.
- Price (per kilo) 3 4 5 6 FirmA(000 kg) 10 20 30 40 Firm B(000kg) 10 15 20 25 Firm C(000kg) 15 28 41 54 Market demand(000kg) - - - - i) Based on the table which farmer is least sensitive to change in price? Prove your answer with calculation. (iii) If the market for potatoes only comprises three farmers, what is the market supply function for potatoes?Under pure competition, the supply curve for a certain product is given by: P= Q2 + 100 , the demand curve is given by: Q = 40 - (1/25)P. 1. Using integration, calculate the consumer surplus. 2. Using integration, calculate the producer surplus. 3. Integrate the following: 2x2 ( 14x3 + 167 )0.9 within the range 3 and 9.Consider product Y with industry supply given by p = 40 + q and industry demand given by p = 20 - 2q. What is consumer surplus?
- 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?The market for used phones is perfectly competitive. The Marginal Willingness to pay (MWTP) and the Marginal Costs (MC) for the buyers and sellers in used phone market are given in the table below. If they buy a phone, each buyer purchases only 1 phone. If they sell a phone, each seller sells only 1 phone. What is Total Surplus in the used phone? Remember all market trades are voluntary. Enter a number only. Do not enter the $ sign.Suppose that pig farming in a region is a perfectly compet- itive industry. However, one negative consequence of this activity is that it creates water pollution that adversely affects the health of the residents in the nearby communities that rely on the water sources that are contaminated by the pig farms. The market supply curve for pigs (or hogs) is given by H^S = 6p where H^S is the quantity of hogs supplied to the market by farmers in this region. The market demand for hogs is given by H^P = 300 – 4p. The government estimates that the additional medical costs (M) imposed on the nearby communities is given by M = 5H, where H is the quantity of hogs produced and sold in the market. Q: In the absence of clearly defined property rights over water use or con- ventions or some form of government intervention, derive the market equilibrium for hogs and the DWL resulting from the additional medical costs associated with hog production. Please show the formula, thank you.