Please Suppose there are 3 buyers in a market who have the following demand equations: D1(p) = 22 – 2p D2(p) = 16 – p D3(p) = 41 – 3p a) What is market demand equal to at a price of 14? b) What is market demand equal to at a price of 16? c) Draw side-by-side graphs of the inverse demand functions for each of the three consumers and the market as a whole.
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Please Suppose there are 3 buyers in a market who have the following
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- Use a matrix method to find the equilibrium prices and quantities where the supply and demand functions for Good 1, Good 2 and Good 3 are as Qd1 = 50 − 2P1 + 5P2 − 3P3, Qs1 = 8P1 − 5 Qd2 = 22 + 7P1 − 2P2 + 5P3, Qs2 = 12P2 − 5 Qd3 = 17 + P1 + 5P2 − 3P3, Qs3 = 4P3 − 1Consider 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.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 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…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.The demand for coffee is given by the following equation, where QD�� stands for the quantity demanded and P stands for price. QD=100−4PQD= 100- 4P The supply of coffee is given by the following equation, where QS�� stands for the quantity supplied and P stands for price. QS=-10+2PQS= -10+ 2P For parts a-d, consider a graph of the demand and supply curves with price on the vertical axis and quantity on the horizontal axis. What is the slope of demand? Slope = At what price is quantity demanded equal to zero (this is, graphically, the vertical intercept of Demand)? P = What is the slope of supply? Slope = At what price is quantity supplied equal to zero (this is, graphically, the vertical intercept of Supply)? P =
- Suppose the quantity of good X demanded by individual 1 is given by X1 = 10 − 2PX + 0.01I1 + 0.4PY and the quantity of X demanded by individual 2 is X2 = 5 − PX + 0.02I2 + 0.2PY a) What is the market demand function for total X (= X1+X2) as a function of PX, I1, I2, and PY . b) Graph the two individual demand curves (with X on the horizontal axis, PX on the vertical axis) for the case I1 = 1000, I2 = 1000, and PY = 10. c) Using these individual demand curves, construct the market demand curve for total X. What is the algebraic equation for this curve?Non-linear pricing in water utilities: You are the manager of water utilities, and you are trying to determine how different water pricing schemes will affect consumption. One option for pricing is called decreasing block pricing, where the marginal price paid decreases with quantity paid. In particular, you are considering a decreasing block schedule where consumers pay $0.20 per gallon for the first 20 gallons consumed, and then $0.10 per gallon for any additional gallons consumed. For this decreasing block pricing scheme, draw the budget constraint for a consumer that has $10 of income, where the composite good is the good on the y-axis. Another option for pricing is called increasing block pricing, where the marginal price paid increases with the quantity paid. In particular, you are considering an increasing block schedule where consumers pay $0.20 per gallon for the first 20 gallons consumed, and then $0.40 per gallon for any additional gallons consumed. For this increasing…Given the two functions below in the picture answer the following; a. Using the same Microsoft Excel sheet or otherwise, draw or sketch the two functions for the interval -1<q<3 . b. From your diagram (part a) above), identify which of the two functions represents the demand curve and name the intercept(s) formed. c. From your diagram (part a) above), identify which of the two functions represents the supply curve and name the intercept(s) formed. d. Economically, it is said that equilibrium is established when the demand curve intercepts the supply curve. Hence or otherwise, determine the equilibrium price and quantity.
- The market for lemon has 10 potential consumers ,each having an individual demand curve p=101-10Q where p is price in dollars per cup and Q is the number of cups demanded per week by the ¡th consumer.find the market demand curve using algebra . Draw an individual demand curve and the Market demand curve . What is the quantity demanded by each customer and in the market as a whole when lemon is priced at p=$1/cup?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 mathematicallyConsider a market characterized by the following inverse demand and supply functions: PX = 10 − 2QX and PX = 2 + 2QX. An $8 per unit price floor will result in a A) surplus of 2 units. B) shortage of 3 units. C) shortage of 1 unit. D) surplus of 3 units.
