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Economic Analysis for Business Session IX: Consumer Surplus, Producer Surplus and Market Efficiency-1 Instructor Sandeep Basnyat 9841892281 [email protected] Welfare Economics Welfare economics is the study of how the allocation of resources affects economic well-being. Buyers and sellers receive benefits from taking part in the market. ◦ Consumer surplus measures economic welfare from the buyer’s side. ◦ Producer surplus measures economic welfare from the seller’s side. The equilibrium in a market maximizes the total welfare of buyers and sellers. CONSUMER SURPLUS Willingness to pay is the maximum amount that a buyer will pay for a good. It measures how much the buyer values the good or service. Consumer surplus is the buyer’s willingness to pay for a good minus the amount the buyer actually pays for it. It’s the benefit that buyers receive from their own perspective. WTP and the Demand Curve Derive the demand schedule: P (price of iPod) who buys Qd $301 & up nobody 0 251 – 300 Flea 1 Anthony $250 176 – 250 Anthony, Flea 2 Chad 175 3 Flea 300 Chad, Anthony, 126 – 175 Flea John, Chad, 0 – 125 Anthony, Flea 4 name John WTP 125 CHAPTER 7 CONSUMERS, PRODUCERS, EFFICIENCY OF MARKETS WTP and the Staircase shaped Demand Curve P $350 $300 P Qd $250 $200 $301 & up 0 251 – 300 1 $150 176 – 250 2 $100 $50 126 – 175 3 0 – 125 4 $0 Q 0 1 2 3 4 WTP and the Staircase Demand Curve P Flea’s WTP $350 $300 Anthony’s WTP $250 $200 Chad’s WTP John’s WTP $150 $100 $50 $0 Q 0 1 2 3 4 At any Q, the height of the D curve is the WTP of the marginal buyer, the buyer who would leave the market if P were any higher. Mathematical Calculation of Consumer Surplus (CS) Consumer surplus is the amount a buyer is willing to pay minus the buyer actually pays: CS = WTP – P name WTP Anthony $250 Suppose P = $260. Flea’s CS = $300 – 260 = $40. Chad 175 Flea 300 The others get no CS because they do not buy an iPod at this price. John 125 Total CS = $40. CS and the Demand Curve P P = $260 Flea’s WTP $350 $300 Flea’s CS = $300 – 260 = $40 $250 $200 Total CS = $40 $150 $100 $50 $0 Q 0 1 2 3 4 CS and the Demand Curve P Flea’s WTP $350 $300 Anthony’s WTP $250 $200 Instead, suppose P = $220 Flea’s CS = $300 – 220 = $80 Anthony’s CS = $250 – 220 = $30 $150 Total CS = $110 $100 $50 $0 Q 0 1 2 3 4 Lessons from CS and the Demand Curve P The lesson: Total CS equals the area under the demand curve above the price, from 0 to Q. $350 $300 $250 $200 $150 $100 $50 $0 Q 0 1 2 3 4 Further Calculations of CS with Smooth D Curve CS is the area b/w P and the D curve, from 0 to Q. Recall: area of a triangle equals ½ x base x height Height of this triangle is $60 – 30 = $30. So, CS = ½ x 15 x $30 = $225. P The demand for shoes $ 60 50 h 40 30 20 10 D Q 0 0 5 10 15 20 25 30 How a Higher Price Reduces CS If P rises to $40, CS = ½ x 10 x $20 = $100. Two reasons for the fall in CS. P 60 50 1. Fall in CS due to buyers leaving market 40 30 2. Fall in CS due to remaining buyers paying higher P 20 10 D Q 0 0 5 10 15 20 25 30 ACTIVE LEARNING 1: demand curve Consumer surplus P 50 $ 45 A. Find CS for P = $30. 40 35 Suppose P falls to $20. 30 25 How much will CS 20 increase due to… 15 B. buyers entering 10 the market 5 C. existing buyers 0 paying lower price 0 5 10 15 20 Q 25 ACTIVE LEARNING Answers 1: P 50 $ 45 A. CS = ½ x 10 x $10 40 = $50 35 30 P falls to $20. 25 20 B. CS for the 15 additional buyers 10 = ½ x 10 x $10 = $50 5 C. Increase in CS 0 on initial 10 units 0 = 10 x $10 = $100 demand curve 5 10 15 20 Q 25 PRODUCER SURPLUS Producer surplus is the amount a seller is paid for a good minus the seller’s cost. It measures the benefit to sellers participating in a market. Its the benefit that producers receive from their own perspective. Cost and the Supply Curve Derive the supply schedule from the cost data: name cost Angelo $10 Hunter 20 Kitty 35 P Qs $0 – 9 0 10 – 19 1 20 – 34 2 35 & up 3 Cost and the Supply Curve P $40 $30 $20 $10 $0 Q 0 1 2 3 CHAPTER 7 CONSUMERS, PRODUCERS, EFFICIENCY OF MARKETS P Qs $0 – 9 0 10 – 19 1 20 – 34 2 35 & up 3 Cost and the Supply Curve P $40 Kitty’s cost $30 $20 Hunter’s cost $10 Angelo’s cost $0 Q 0 1 2 3 CHAPTER 7 CONSUMERS, PRODUCERS, EFFICIENCY OF MARKETS At each Q, the height of the S curve is the cost of the marginal seller, the seller who would leave the market if the price were any lower. Producer Surplus PS = P – cost P $40 Producer surplus (PS): the amount a seller is paid for a good minus the seller’s cost. $30 $20 $10 $0 Q 0 1 2 3 Producer Surplus and the S Curve PS = P – cost P $40 Kitty’s cost $30 $20 Hunter’s cost $10 Angelo’s cost $0 Q 0 1 2 3 Suppose P = $25. Angelo’s PS = $15 Hunter’s PS = $5 Kitty’s PS = $0 Total PS = $20 Total PS equals the area above the supply curve under the price, from 0 to Q. PS with Lots of Sellers & a Smooth S Curve PS is the area b/w P and the S curve, from 0 to Q. The height of this triangle is $40 – 15 = $25. P The supply of shoes 60 S 50 40 30 h 20 So, PS = ½ x b x h = ½ x 25 x $25 10 = $312.5 0 Q 0 5 10 15 20 25 30 How a Lower Price Reduces PS If P falls to $30, PS = ½ x 15 x $15 60 = $112.5 Two reasons for the fall in PS. P 50 1. Fall in PS due to sellers leaving market S 40 30 2. Fall in PS due to remaining sellers getting lower P 20 10 Q 0 0 5 10 15 20 25 30 Total Surplus Total surplus = Consumer surplus + Producer surplus = Value to buyers – Amount paid by buyers + Amount received by sellers – Cost to sellers Total surplus = Value to buyers – Cost to sellers Represents the entire area between the maximum price that buyers want to pay and the lowest cost that sellers would incur. Evaluating the Market Equilibrium Market eq’m: P = $30 Q = 15,000 Total surplus = CS + PS P 60 S 50 40 CS 30 PS 20 10 D Q 0 0 5 10 15 20 25 30 Market Efficiency Market is considered efficient if it maximizes the total surplus Maximizing total surplus: Maximizing consumer surplus by involving maximum number of consumers in the market for trade + Maximizing producer surplus by involving maximum number of producers in the market for trade Does Eq’m Q Maximize Total Surplus? At Q = 20, cost of producing the marginal unit is $35 P 60 S 50 But consumers 40 wants to pay only $20. Since there is an excess 30 supply, some sellers will 20 not be able to sell, causing total surplus to 10 decrease. 0 So, decreasing production 0 will increase the Total Surplus. D Q 5 10 15 20 25 30 Thank you