Hugh, Frank, and Luis are the only three buyers of gold in a small mining town. Their inverse demand functions for gold are as follows: Hugh: p= 20 - Qu. Frank: p= 10 - Luis: p = 5- O Qu.QF. and QL are the quantities (in ounces) demanded by Hugh, Frank, and Luis, respectively.
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- 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.Suppose there are two types of e-book consumers: 50 "standard" consumers with demand Q=25-P and 100 "rule of thumb" consumers who buy 10 e-books only if the price is less than $10. (Their demand curve is given by Q=10 if P<10 and Q=0 if P≥10.) Using the multi-point drawing tool, graph the resulting total demand curve for e-books. Label this line "Demand."Consider a market characterized by the following inverse demand and supply functions: PX = 10 - 2QX and PX = 2 + 2QX. Compute the number of units exchanged and the price at which those units will be exchanged when there is an $8 per unit price floor.
- In a given market, there are three demanders of a good with Qd¹+P=12, P=10-2Qd² and Qd³=10-P as their respective demand functions, obtain the market demand for the good and determine the market Quantity demanded when the price of the good is Gh4.Auerbach’s demand for frozen custard is given by P = 20 – 2QA while that for Kotlikoff is given by P = 40 – 2QK. Supposing that these are the only two consumers in this market, what is the market demand for frozen custard?In case the two commodities are good substitutes, cross-elasticity will be
- In a market for exotic apples there are 3 demanders with the following functions. Qda +0.5p=5, Qdb+P=10 and Qdc-12 = -P respectively. Obtain the market demand function and find the market quantity demanded when the price of the apple is 8.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 $300, will college students buy firewood? What about other town residents? At what price is the quantity demanded by other town residents zero? 3. Draw the total demand curve, which sums the demand curves for college students and other residents.The demand function for a certain brand of CD is given by p = -0.01x^2 - 0.2x +10 where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determiine the producer's surplus if the market price is set at the equilibrium price. (round answer to neareset dollar) P = 0.01x^2 + 0.4x +2
- As economic consultant to the dominant firm in a particular market, you have discovered that, at the current price and output, demand for your client’s product is price inelastic. What advice regarding pricing would you give?On the following graph, plot Tim’s demand for pizza slices using the green points (triangle symbol). Next, plot Alyssa’s demand for pizza slices using the purple points (diamond symbol). Finally, plot the market demand for pizza slices using the blue points (circle symbol). Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.The daily demand for movie rental from a movie theatre operator Silver Screen is given by the equation P = 5 - 0.5Q, where P is the price in dollar ($) and Q is the quantity demanded. The manager of Silver Screen claims that consumers are always sensitive to the price of movie rental and hence the company should always reduce the price to earn more revenues. Is this claim valid? What should the manager do to maximise the revenue? Explain.