Consider a competitive market for red lentils with 100 identical farmers in HorshamVictoria, a competitive market price of $5 and the following MC for each farmer:MC = $0.05QAlso consider the following market demand function:QDa) Calculate the optimal level of production (in tonnes) for each farmer (show workings)= = 1000 - 40Pb) Assuming 100 lentil farmers of equal size how many tonnes of lentils in total will besupplied in the entire market? (show all workings)c) Consider that the government now imposes a 25% tax on producers, calculate i) thenew equilibrium level of output for each firm (hint - think about how this affects eachfarmer's marginal cost), and ii) new total supply in the entire market (show allworkings)

Condition for Optimality Price = Marginal cost Condition for Market Equilibrium Qd = Qs

Consider a competitive market for red lentils with 100 identical farmers in Horsham Victoria, a competitive market price of $5 and the following MC for each farmer: MC = = $0.05Q Also consider the following market demand function: QD = 1000-40P a) Calculate the optimal level of production (in tonnes) for each farmer (show workings)

Consider a competitive market for red lentils with 100 identical farmers in Horsham Victoria, a competitive market price of $5 and the following MC for each farmer: MC = = $0.05Q Also consider the following market demand function: QD = 1000-40P a) Calculate the optimal level of production (in tonnes) for each farmer (show workings)

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter12: The Partial Equilibrium Competitive Model

Section: Chapter Questions

Problem 12.14P

See similar textbooks

Similar questions

Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)
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 Quantity
K Given the input-output matrix below, find the output matrix if final demand changes to 400 for water, 180 for electric power, and 700 for agriculture. Industry: Water Electric Power Agriculture Other Water 120 120 240 720 The output matrix is X = (Round to two decimal places as needed.) Industry Electric Power 400 200 100 300 8 Agriculture Final Demand 180 240 120 60 260 170 500
Predicting Changes in Equilibrium Price and Quantity Suppose that the market demand for farmed salmon is Qd = 12 – p and the market supply of farmed salmon is Qs = 9.6 + 0.5p – 0.2pt, where Q is the quantity of salmon in millions of tons per year, p is the price of salmon in dollars per pound, and pt is the price of tilapia in dollars per pound. The supply function demonstrates that the facilities that are used to farm salmon are also suitable for farming tilapia. a) Use a market diagram to demonstrate that the equilibrium price and quantity of salmon is implicitly a function of the price of tilapia. That is, show how a change in the price of tilapia will impact the market for farmed salmon. (No need to use numbers here, just sketch and explain.) b) Using the supply and demand functions, derive the relationship between the price of tilapia and the equilibrium price and quantity of salmon. You should ultimately calculate and . Check your work by calculating the impact of an increase in…
Use the following general linear supply function: Qs = 40 + 6P - 8PI + 10F where Qs is the quantity supplied of the good, P is the price of the good, PI is the price of an input, and F is the number of firms producing the good.If PI = $20 and F = 60 what is the equation of the supply function?Group of answer choices Qs = 480 + 6P Qs = 40 + 8P P = 480 + 6Qs Qs = 400 + 6P none of the above
A manufacturing business can supply 60 plasma TV sets per month at a price of $280 per set, or sell 140 plasma TV sets if the price is $370 per set. A group of retailers will buy 80 plasma TV’s if the price is $350 per pair and 120 plasma TV’s if the price is $300 per set. Given that the demand and supply functions must be linear: Find the linear equations representing both demand and supply Find the point of market equilibrium (number of TVs: q) and the price per unit (p) at that point.
Estimated Supply Function: Q = 100 + 20p – 28pf If we hold pf at $0.50 per lb for fertilizer. Calculate a supply function and draw a supply curve. If change in price Δp= 1 then what is the change in quantity ΔQ
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?
Assuming a supply function of Qs = 100+100p and a demand function of Qd = 700-50p and an equilibrium price of $4 with an equilibrium quantity of 500million gallons please answer the following
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.
Find the price-demand equation for tickets to a particular zoo when the demand is 225 tickets per day at $15.00 per ticket, given that the marginal price-demand function, p′(x), for x number of tickets per day, is given as p′(x)=−0.015e−0.01x. If the zoo only sells 150 tickets per day, what should the price be? Do not round until the end. Round your answer to the nearest hundredth and do not include a dollar sign in your answer.
Assume quantities need not be integers. Demand in a competitive market is Qd(P)=120 – (4/10)*P. If 20 units are transacted, what is the lowest marginal benefit (i.e., MWTP) at which an item is purchased? Round to two decimal places and do not enter a currency symbol. If your answer is $1.125, enter 1.13.