Given a market model as follow: (a, b, e, f > 0) (c, d, g,h > 0) (1) Q1 = a – bP1 + eP2 - fP3 (2) Q1 = -c + dP, –- gT + hS where Q, is quantity of Good 1, P, is price of Good 1, P, is price of Good 2, P3 is price of Good 3, T is an excise tax and S is a government subsidy. iv) Find the value of P; by using substitution technique.
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- GM’s Food Shops has completed a study of weekly demand for its “new-fashioned” tacos in 53 regional markets. The study revealed that where Q is the number of tacos sold per store per week, A is the level of local advertising expenditure, Pop denotes the local population (in thousands), and Pr is the average taco price of local competitors. For the typical GM’s outlet, P = P1.50, A = P1,000, Pop = 40, and Pr = P1. Q = 400 - 1,200P + 0.8A + 55Pop + 800Pr Estimate the weekly sales for the typical GM’s outlet. Determine the equilibrium price and equilibrium quantity, if supply is Qs = 700 + 1,200P considering the general demand function of GM’s outlet Should GM raise its taco prices? Why or why not?A new market appears that works according to the rules of the Stackelberg model. The costs of firms on this market as a function of individual supply q is C(q) = f + Cq^2, where both F > 0, C > 0. The demand is P(Q) = A - BQ as afunction of total supply Q, with A > 0, B > 0. What is the quantity of followers on the market assuming free entry (as a function of A B C and F) Assume entry costs Z, what is the new equilibrium quantity of firms?Given below are the demand and supply functions for three interdependent commodities. Qd1 = 90 – 2P1 + 3P2 – 5P3 ; Qs1 = P1 – 10 Qd2 = 36 + 3P1 – 3P2 + 2P3 ; Qs2 = –14 + P2 Qd3 = 45 – 3P1 + 3P2 – 3P3 ; Qs3 = P3 – 20 a. Determine the equilibrium prices and quantities for the three commodity Market model. b. Compute the price and cross elasticities of demand for all three markets and interpret their coefficients.
- A manufacturer of automobiles is planning a new model and wants to determine the responsiveness of demand in a number of scenarios. The demand function for the new model is given by the following function: Q = 30000 – 3P + 2000ln(PA) + Y Where Q is the quantity sold of the new model, P is the price for the new model, PA is the price of the competitor’s model and Y is the annual income of a typical purchaser. The new model price is planned to be £20,000 and the competitor is charging £25,000. The annual income of a typical purchaser is £30,000. (a) The manufacturer wishes to determine the responsiveness of the demand for the new model if the price of a competitor’s model changes. Which measure of elasticity would be appropriate to fulfil this requirement? And provide a calculation of its value.Given below are the demand and supply functions for three interdependent commodities. Qd1 = 110 – 4P1 + 3P2 – 4P3 ; Qs1 = 2P1 – 20 Qd2 = 46 + 2P1 – 4P2 + 4P3 ; Qs2 = –14 + 2P2 Qd3 = 20 – P1 + 4P2 – 2P3 ; Qs3 = 2P3 – 10 (a)Determine the equilibrium prices and quantities for the three commodity Market model. (b)Then compute the price and cross elasticities of demand for the third market and interpret their coefficients.Based on the model of demand and supply, the demand and supply functions are given at the following equations: P = 4QS QD = 500 – P Where: QS is the number of packs of cigarettes offered for sale; QD is the number of packs of cigarettes purchased on the market, P is the price of pack of cigarettes. Find the equilibrium price and the number of packs of cigarettes at market equilibrium. To reduce cigarette consumption, the state has set a minimum price of P=15. Determine the size of the imbalance at this price.
- Consider the following general linear demand and supply functions that represent a market: Qd = Z −GP (3) Qs = D + EP+ CS (4) where P is the price, S is a variable denoting the average amount of production shipping costs, and Qd and Qs are the quantity demanded and the quantity supplied. Assume D, E, G, and Z all have values greater than zero. What equation (in addition to equations 3 & 4) completes our mathematical model of market equilibrium? Identify the parameters, endogenous variables, and exogenous variables in the above system of Derive expressions for the equilibrium market price (P∗) and quantity (Q∗) and illustrate your answers with a graph. Be sure to specify the symbolic values of the demand and supply curves where they intersect with the P-axis and Q-axis in the positive Given your…What are the values of P1, P2, Q1, Q2 given two commodity demand and supply model: Q d1= 24 - 8 P1 + 2 P2 Q s1= - 6 + 12 P2 Q d2= 28 +P1 - 8 P2 Q s2 = - 6 + 2 P2Given the demand and supply function for three inter-dependent commodities QD1 = 45−2P1+2P2−2P3 QD2 = 16+2P1−P2+2P3 QD3 = 30−P1+2P2−P3 and QS1 = −5+2P1 QS2 = −4+2P2 QS3 = −5+P3 respectively. Find the equilibrium prices and quantities of this three-commodity market model.
- If the number of buyers in a market increases from 25 to 75, you would expect the equilibrium price to _____ and the equilibrium quantity to _____, holding all else constant. Group of answer choices remain the same; remain the same decrease; decrease decrease; increase increase; increase increase; decreaseMiron Floren, of Lawrence Welk Show fame, now tours the country performing at accordion concerts. A careful analysis of demand for tickets to Mr. Floren’s concerts reveals a strange segmentation in the market. Demand for tickets by senior citizens is described by Qo = 500P^–3/2 , while demand by those under 65 years old is Qy = 50P^–4. If the marginal cost of a ticket is £3, how should tickets to Mr. Floren’s concerts be priced to maximize profits? A. £3 for senior citizens and £8 for those younger B. £6 for senior citizens and £12 for those younger C. £9 for senior citizens and £4 for those younger D. £4.71 for all tickets E. £12 for senior citizens and £4.50 for those youngerThe steps for solving a maximization problem can include A. Using the constraints to eliminate some variables B. Finding the partial derivatives with respect to controls or choices C. Solving the FOC for the optimal choice D. All of the Above The definition of competitive equilibrium is A. A fight among firms that has drawn to a tie B. Allocations and prices such that all agents behave optimally and markets clear C. An economy in which each firm monopolistically sets prices D. Where the governmental exogenously sets prices to maximize welfare