1. Assume a market has the following demand and supply functions: QD = 28-3P Qs = 2P-12 Where P is the price a) Determine algebraically the equilibrium price and quantity. b) Plot the demand and supply curves and confirm your answer. c) Suppose supply shifts to Qs =2P – 2 with no change no change in demand. Determine the new equilibrium price and quantity. d) Although the supply curve shifts to the right by 10, the quantity exchanged does not rise by 10, explain why the increase in quantity is smaller.
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- Q3Use a matrix method to find the equilibrium prices and quantities where the supply and demand functionsfor Good 1, Good 2 and Good 3 are asQd1 = 50 − 2P1 + 5P2 − 3P3, Qs1 = 8P1 − 5Qd2 = 22 + 7P1 − 2P2 + 5P3, Qs2 = 12P2 − 5Qd3 = 17 + P1 + 5P2 − 3P3, Qs3 = 4P3 − 1Using the supply and demand equations given below: Demand Qd = 25 – 2PSupply Qs = 1 + P If the price falls from $8 to $7:a. Compute for the own price arc elasticity of demand. Provide an economic interpretationof your computed value (this is different from what is asked next) and classify the good according tothe type of elasticity. b. Compute for the price elasticity of supply. Provide an economic interpretation of yourcomputed value and classify the good according to the type of elasticity. 1. What is the relationship between total revenue and own-price elasticity of demand? 2. Illustrate a situation when the producer of a good will have a greater tax incidence than a consumer.What does elasticity have to do with tax incidence?The market demand for productXis given by: \[ Q_{d}=6-1 / 2 P \text { or } P d=12-2 Q \] The market supply for goodXis given by: \[ Q_{s}=-14+2 P \text { or } P s=7+1 / 2 Q \] whereP=price per unit andQis number of units. Draw a supply-and-demand graph with these curves. 1.) Using the line drawing tool, draw the supply and demand curves. Properly label your lines. 2.) Using the point drawing tool, plot the equilibrium point. Label your point 'E'. Note: Carefully follow the instructions above and only draw the required objects. The equilibrium price is$and the equilibrium quantity is unit(s). (Enter your responses as integers.) A per-unit excise tax is imposed on suppliers of productX, and the market supply with the tax is now given by: \[ Q_{s}=-19+2 P \text { or } P s=9.50+1 / 2 Q \] Using the graph on the right, show this supply curve. 1.) Using the line drawing tool, draw the new supply curve. Label your line 'S1+tax'.1. Note: Carefully follow the instructions above and only draw…
- 1.You have been recently employed as a consultant for a company that produces laptops in Ghana. Suppose the research department of the company have estimated the demand and supply curves of laptops and they are:2Qd + 0.5P − 24 = 0and 4Qs − 2P + 6 = 0You are to use this information toa. Determine the equilibrium level of prices and quantity demand.b. Represent your answer graphically and determine the welfare of economic agents.c. Suppose the government imposes a tax of ¢4 on every laptop sold, determine the new equilibrium price and quantity.d. Represent the new supply curve, old supply curve and the demand curve on a graph showing all equilibria.e. Show how the economic agents share the tax.f. What is the amount of government tax revenue?ven the following linear functions describing the supply and demand for widgets: na, using the algebraic methods explained in the lesson, the equilibrium price ) Cony substituting the equilibrium price into the original functions, calculate the equilibrium quantity rconirm your results by completing a supply and demand schedule and by graphing the supply and demand curves, being sure to mark in the equilibrium price and quantity on the axes. Qs = -4 + 2P Qd = 24 - 2P a) Equiibrium price : as- Qd Qs =-4+2x7=10 Qd - 24-14= 10 %3D -4+ap= 24-2P -4P=-28 P=7 Qs = -4 + 2P lo Price ($) Qd 24 - 2P 8. 10 10 2. Equaibrium at (7,10) 123456189 10 PriceAssumed that the demand (D) for potato given by demand: Q = 1500 − 15P, where Q isquantity per month measured in kilos and P is price per kilo. 1. Supply is equals to 900 kilos one day, what will the price be?2. Supply were to fall to 300 kilos, what would the price be?3. The D for Potato shifts outward to Q = 2100 − 15P, what will be answer in part 1 and 2 change?4. Graph the results
- Demand and Supply scenarios - For the next 4 questions, answer the following questions: Label axis and curves. Determine if the situation is a Demand or a Supply and specify which non-price determinants is involved. Illustrate on the graphs: O the new curve, the surplus OR shortage created the new Price at the new E 4. Answer the following scenarios for each of the next Non-Price questions a) Following the fires in the Amazon forests in Brazil, the price of cocoa beans increased. Market of chocolates b) The minimum wage in Canada increased to 20$/h. Q Market of cheap noodles x c) The Canadian Government just announced that they will help new start-up companies in the industry of recycling plastics by providing substantial subsidies. Market of recyclingPrice £/unit 'D3 D1 D2 Quantity Figure 4 Supply and demand curves for a normal good Figure 4 shows a supply (S,) and demand curve (D;) for a normal good – illustrated by the continuous lines. Both curves may shift left or right depending on the situation described below, as illustrated by the dotted and dashed lines. The market is initially in equilibrium at point E given by the intersection of the supply curve S, and demand curve D1. Consider the situation below and select the letter that corresponds to the new point of equilibrium that would arise in the market from the list provided. A major natural disaster disrupts productionAs a general rule, is it safe to assume that a change in the price of a good will always have its most significant impact on the quantity demanded of that good, rather than on the quantity demanded of miller goods? Explain.
- Which of the following statements is correct Multiple Choice If supply increases and demand increases, equilibrium quantity will rise. If supply increases and demand increases, equilibrium price will rise. If supply increases and demand increases, equilibrium quantity will fall. If supply increases and demand remains constant, equilibrium price will rise. If supply decreases and demand remains constant, equilibrium price will fall. Mc Graw Type here to searchSuppose that the price of basketball tickets at yourcollege is determined by market forces. Currently, thedemand and supply schedules are as follows:Price Quantity Demanded Quantity Supplied$4 10,000 tickets 8,000 tickets 8 8,000 8,000 12 6,000 8,000 16 4,000 8,000 20 2,000 8,000a. Draw the demand and supply curves. What isunusual about this supply curve? Why might thisbe true?b. What are the equilibrium price and quantity oftickets?c. Your college plans to increase total enrollmentnext year by 5,000 students. The additional students will have the following demand schedule:Price Quantity Demanded$4 4,000 tickets 8 3,000 12 2,000 16 1,000 20 0Now add the old demand schedule and thedemand schedule for the new students tocalculate the new demand schedule for theentire college. What will be the newequilibrium price and quantity?ADVANCED ANALYSIS Assume that demand for a commodity is represented by the equation P = 20 – 2Qd. Supply is represented by the equation P = -5 + 3Qs, where Qgand Qs are quantity demanded and quantity supplied, respectively, and Pis price. Instructions: Round your answer for price to 2 decimal places and enter your answer for quantity as a whole number. Using the equilibrium condition Qs= Qd solve the equations to determine equilibrium price and equilibrium quantity. Equilibrium price = $ Equilibrium quantity = units