The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are? The government decides to: Impose a 25% Tax on X? Impose a 5 Rs /unit Tax on Y? Give a 10% subsidy on good z? Analyze the impact of each of these policies separately on equilibrium prices and quantities?

D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. If the equilibrium price is $12 and the equilibrium quantity is 144 units, find the Consumer Surplus at the equilibrium point and then answer the question about Producer Surplus. 144 D(x)= S(x) = Vx %3D You must write a complete solution for part (a) and submit with your written work. Note: Consumer and Producer Surplus formulas are: Consumer Surplus: D(x)dx- PQ, Producer Surplus: PQ- | Sx)dx. [4 points] (a) The Consumer Surplus is S (Round to the nearest cent as needed.) (b) Which expression will give the correct value of the Producer Surplus? [2 points] O A. T 1 1A-(12|144) 0. -144 -(12)(144) |O B. 21 (12)(144)- [144 -0 OC. 3 2. 2, 21 144 3. (12)(144) D. 31 (12)(144)- 2. 144 E. (12)(144)- [12 -0 (Select the correct answer.) Click to select your answer(s).

a. find the equilibrium point (both the p and q) b. find new equilibrium point with a $0.40 tax imposed on the suplier (both p and q)

Find the point of equilibrium for the following supply and demand equations where ? is number of units and ? is the price per unit. Demand: ?=74−0.000030?=74−0.000030q Supply: ?=43+0.000280?=43+0.000280q Number of units for equilibrium =  Price per unit at equilibrium =