Suppose there are 4,000 students in NY each with individual inverse demand function: p=10−2Qs There are an additional 2,000 non-student residents of NY each with individual inverse demand function: p=10−4Qr The inverse demand function for all 6,000 NY residents together is given by the equation: p=

Suppose there are 4,000 students in NY each with individual inverse demand function: p=10−2Qs There are an additional 2,000 non-student residents of NY each with individual inverse demand function: p=10−4Qr The inverse demand function for all 6,000 NY residents together is given by the equation: p=

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter5: Income And Substitution Effects

Section: Chapter Questions

Problem 5.13P

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The demand function for a truckload of firewood for college students in a small town is Qc = 400-p. It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse dimand function for college student is p = 400 - Qc. The demand function for other town residents is Qr = 400 -2p. What is the inverse demand function for other town residents? At a price of $300,. will college students buy any firewood? What about town residents? At what price is the quantity demanded by other town residents zero? Draw the total demand curve, which sums the demand curves for college students and other residents?
The demand function for a truckload of firewood for college students in a small town is QC = 400 − p. It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse demand function for college students is p = 400 − Qc. The demand function for other town residents isQr = 400 − 2p. 1. What is the inverse demand function for other town residents? 2. At a price of $300, will college students buy firewood? What about other town residents? At what price is the quantity demanded by other town residents zero? 3. Draw the total demand curve, which sums the demand curves for college students and other residents.
In a small town in North India where winter temperatures are very low, the demand function for a truckload of firewood for college students in a small town is Qc = 400 - p. It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse demand function for college students is p = 400 - Qc. The demand function for other town residents is Qr = 400 - 2p. Solve the following & Show all your calculations. [1 + 2 + 2 = 5] (a) What is the inverse demand function for other town residents? (b) At a price of Rs.300, will college students buy any firewood? What about other town residents? At what price is the quantity demanded by other town residents zero? (c) Draw the total demand curve, which sums the demand curves for college students and other residents. Clearly label X-axis and Y-axis. Draw the curve for at least five point
I need help with how to draw the total demand curve in part 3. I am using Excel. The demand function for a truckload of firewood for college students in a small town is QC = 400 − p. It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse demand function for college students is p = 400 − Qc. The demand function for other town residents isQr = 400 − 2p. 1. What is the inverse demand function for other town residents? 2. At a price of $300, will college students buy firewood? What about other town residents? At what price is the quantity demanded by other town residents zero? 3. Draw the total demand curve, which sums the demand curves for college students and other residents.
According to the midpoint method, the price elasticity of demand between points A and B is approximately Suppose the price of scooters is currently $15 per scooter, shown as point B on the initial graph. Because the demand between points A and B is a $15-per-scooter increase in price will lead to in total revenue per week. In general, in order for a price increase to cause a decrease in total revenue, demand must be
Consider a hypothetical situation at the Mitengo Market in Ndola where there are 1000 identical individuals buying bananas, hereafter, to be called commodity X. Each of these individuals has a demand function given by Qdx = 6-Px. In the same market there are also 100 identical producers of bananas from Ndola, each with a supply function given by Qsx = 10Px. (a) Find the market demand function and market supply function (b) Obtain the equilibrium price and quantity mathematically
In the market for blue popcorn, there are three groups of consumers. The demand function of each consumer in group 1 is given by D1( p) = 20 - pThe demand function of each consumer in group 2 is given by D2( p) = 10 - pThe demand function of each consumer in group 3 is given by D3( p) = 10 - 2pIf there are 1,000 consumers in each group, what is the market demand function for blue popcorn?
Botswana and South Africa both produce laptops. Botswana produces the Lenovo brand whereas South Africa produces the Acer brand. The demand and supply structure in both countries are given by the Dixit-Stiglitz model, with an elasticity of substitution equal to two in both countries. Assume that the laptop market in Botswana is much large than in South Africa. In both countries, the marginal labour input requirement is one and the fixed labour input per variety is 2.5. Botswana's labour employment in the cell phone industry is 20 million people whereas that of South Africa is 10 million people. Determine the number of varieties that will be supplied to Botswana and South Africa laptop markets in Autarky.
The market for tickets to this year’s football games consists of two groups of consumers. Let x1denote the demand for tickets by fans of one of the visiting teams, and let x2 denote the demand for tickets by home fans who enjoy the spectacle. Let the price of the ticket be denoted by px, and suppose that everyone who purchases a ticket pays the same price. The demand functions of the two consumer groups has been determined as follows. There are 15,000 seats available in the stadium (thus X=15). x1= 12 −px/2 x2= 6− px/4 (a) What is the market demand function for football tickets, as a function of px? (Remember that demand cannot be negative for either consumer group.) (b) If the school was required to sell tickets to visitors at the same price as home team Students, what would the price for tickets be? (c) Suppose that, at the ticket price chosen by the university, the price-elasticity of demand for…
Nathan and Joe are shopping for video games. The demand function of George for Track and field games is Q = 40 - 4P, and Georgia’s demand function is Q = 36 - 3P. What will their combined demand be if the price is $2? $10? If we add George and Georgia’s demand functions, we get: At $2 a game, both George and Georgia’s will have positive demand for field games, and so we can use the combined equation to getAt $10 a game, however, George’s demand function gives negative demand, which we know means he just has 0 demand for field games. In this case, we ignore George's function, and just use Georgia’s to figure out their combined demand, since using the combined function would give the wrong answer.
A consumer has the following indirect utility function: u (x1, x2) = − 1/ x1 − 1 /x2 1. Compute the Walrasian demand functions.2. Obtain the indirect utility function.3. Obtain the expenditure function and the Hicksian demands.
The inverse demand function of a group of consumers for a given type of widgets is given by the following expression: π=−10q+2000 $ ( I ) where q is the demand and π is the unit price for this product. A. Determine the maximum consumption of these consumers. B. Determine the price that no consumer is prepared to pay for this product. C. Determine the maximum net consumers’ surplus. Explain why the consumers will not be able to realize this surplus. D. For a price π of 1000 $/unit, calculate the consumption, the consumers’ gross surplus, the revenue collected by the producers, and the consumers’ net surplus. E. If the price π increases by 20% (The new price π=1200), calculate the change in consumption and the change in the revenue collected by the producers. F. What is the price elasticity of demand for this product and this group of consumers when the price π is 1000 $/unit. G. Derive an expression for the gross consumers’ surplus. H. The supply function for the widget…