Given the following demand and supply equations: Demand Qd = 100 - 2P Supply QS = 10 + P 1. Mathematically compute for the equilibrium price and quantity. Why would such a combination be the market equilibrium? 2. Will a shortage or surplus exist in the market if the price is i.) 20 per unit and ii.) 35 per unit? Compute mathematically how large is the shortage/surplus. 3. Illustrate in a completely labelled graph the situations presented in (2.) above.
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- 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?The following table shows the weekly demand and supply in the market for ice cream in Detroit. dy Tools Price Quantity Demanded Quantity Supplied (Dollars per gallon of ice cream) (Gallons of ice cream) (Gallons of ice cream) 4 2,000 200 Tips 1,600 600 12 1,200 800 Tips 16 800 1,200 20 400 1,800 כ On the following graph, plot the demand for ice cream ușing the blue point (circle symbol). Next, plot the supply of ice cream using the orange point (square symbol). Finally, use the black point (plus symbol) to indicate the equilibrium price and quantity in the market for ice cream. g Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 24 Demand 20 16 Supply 12 MacBook Air per gallon of ice cream)This problem involves solving demand and supply equations together to determine price and quantity. a. Consider a demand curve of the form QD=-2P+20, where QD is the quantity demanded of a good and P is the price of the good. Graph this demand curve. Also draw a graph of the supply curve Qs =2P-4, where Qs is the quantity supplied. Be sure to put P on the vertical axis and Q on the horizontal axis. Assume that all the Qs and Ps are nonnegative for parts a, b, and c. At what values of P and Q do these curves intersect-that is, where does QD = Qs ? b. Now, suppose at each price that individuals demand four more units of output-that the demand curve shifts to QD - 2P+24. Graph this new demand curve. At what values of P and Q does the new demand curve intersect the old supply curve-that is, where does QD = Qs ? c. Now finally, suppose the supply curve shifts to Q's=2P-8. Graph this new supply curve. At what values of P and Q does QD=Q's? Show all working calculations and label garph with…
- I. For the normal good, make a (Hypothetical) linear demand schedule with 7 different price points and corresponding quantity demanded for your own household. For the same normal good, make another (Hypothetical) linear demand schedule with 7 different price points and corresponding quantity demanded for your neighbor. Assuming that you and your neighbor are the only two households in the market, make a market demand schedule for the same normal good. Draw and interpret a graph to show the market demand and impact of changes in quantity demanded, if price of the same normal good decreases.The buyers side of the market for laser tag tickets consists of two types of consumers who demand curves are shown below. 18 24 48 Tickets/yr Tickets/yr a. Graph the market demand curve on the graph below. Label everything (use units of 4 for the x-axis so it fits). Hint: It is helpful to determine the equations of the lines using y=mx+b for each so you can plug in prices and get quantities or plug in quantities and get price. b. Shade in the region that represents the total consumer surplus in the amusement park if tickets sell for $12 each. Price ($/ticket) Price ($/ticket)The city of Rye has a large number of video arcades. The demand by patrons in thousands per week is Qd=200 - 2P and the supply is Qs= 2P where P is the price in cents charged to play a game. what is the Equilibrium number (quantity) of games played? What is the equilibrium price? draw a diagram showing the equilibrium in the marke
- The demand schedule given below illustrates the quantity demanded by two individual consumers in the market for hot dogs. Both Larry and Harry are consumers of hot dogs and make up the entire market. Price per Hot Dog $1.80 0.20 Quantity Quantity Total Market Demanded Demanded Demand by Larry by Harry 20 35 25 45 ? ? 1.) Using the line drawing tool, draw a demand curve for each individual. Properly label each line. 2.) Using the line drawing tool, draw the market demand curve. Properly label this line. Note: The endpoints of the curves must match the data provided in the table. Carefully follow the instructions above and only draw the required objects. Price per unit ($) 2.00 1.80- 1.60- 1.40- 1.20- 1.00- 0.80- 0.60- 0.40- 0.20- 0.00+ 0 10 20 Hot Dogs 30 40 50 60 70 Quantity per month 80 90 100No written by hand solution Suppose that Sam and Teresa are the only consumers of dance classes in a particular market. The following table shows their annual demand schedules: Price Sam's Quantity Demanded Teresa's Quantity Demanded (Dollars per class) (Classes) (Classes) 10 32 56 20 20 40 30 12 24 40 4 12 50 0 4 On the following graph, plot Sam's demand for dance classes using the green points (triangle symbol). Next, plot Teresa's demand for dance classes using the purple points (diamond symbol). Finally, plot the market demand forI intend to sell food coupons from my restaurant to two groups of customers, namely, general consumers and students, whose demand curves are given by Qg and Q, respectively, Qg=500 -5P Q₁ = 200 - 4P; where Q stands for quantity demanded and P is price. (a) Can you graph the two demand curves with P on the vertical axis and Q on the horizontal axis? If I price the coupons at $35, can you identify the quantity demanded by each group? (b) Also, find the price elasticity of demand for each group at the current price and quantity. (c) Am I maximizing my revenue by charging $35 for each coupon? Explain. (d) What price should I charge from each group if I want to maximize the revenue collected from coupon sales? (e) Normally, sellers try to maximize profits instead of revenue. In this case, explain if maximizing revenue is equivalent to maximizing profits
- If you walk into the student union at lunch time, you will likely observe a very long lineat Chik-Fil-A. If you walk into the student union around 2:30 p.m., there is hardly a line at all. Yet,the price that you pay for your food is no different at lunchtime, when demand is high, than it is at2:30, when demand is low. Is this inconsistent with the supply and demand model we discussed inclass? Explain your answerE3 We are trying to calculate the ”shadow price” of Boom Island State Park in Minneapolis. Entrance to the park is free, and it receives 750,000 visitors per year. Suppose Fort Snelling State Park in Saint Paul is virtually identical. Fort Snelling charges $10 per visit, and receives 550,000 visitors per year. (Assume for simplicity each visitor only visits once.) Assume the demand curve is linear. Using the market analogy method, draw the demand curve for Boom Island, labeling important components. Calculate the revenue collected by Minnesota from Fort Snelling. Shade in this area on the chart. Calculate the surplus from Boom Island. Why are your answers from parts (2) and (3) not identical?2. Consider the Table below representing the number of 21-inch colour TV's individuals are willing to purchase in Ndola and Kitwe: Price Quantity Demanded-Kitwe Quantity Demanded- Ndola К350 100 75 К325 150 100 К300 200 125 K275 250 150 K250 300 175 a) Plot these data, with price (P) on the vertical axis and quantity (Q) on the horizontal axis. Connect the points for quantity demanded in Ndola and Kitwe. Lebel the Ndola line D1 and the Kitwe line D2). b) Find the increase in the quantity of TV units purchased in Ndola and Kitwe when the price of TV's is lowered from K300 to K275. c) Find the slope of the Demand lines D1 and D2 when the price is lowered from кз00 to K275. d) What does the difference in the slope of demand lines D1 and D2 indicate? e) Obtain the National demand schedule if Kitwe and Ndola were the only cities in the country. f) Explain what will happen to demand for TVs if one of the following happen i) ii) iii) Price of DSTV increases There is a wage freeze in the…
