Chapter 2 Homework Answers -- 110 points Pages 80 - 82: #2 Qd = 8,000 – 16P + 0.75M + 30PR A. M = $30,000 and PR = $50 Qd = 32,000 – 16P B. The intercept is the estimated quantity demanded if the price were to be zero (note that because we have combined other parameter and variable quantities into the intercept we cannot say that it represents the quantity demanded if all variables were valued at zero). The slope parameter (-16) tells us that for every $1 increase in price, quantity demanded will decrease by 16 units. C. Demand 2500 Price ($) 2000 1500 1000 500 0 0 5000 10000 15000 20000 25000 30000 35000 Quantity D. When P = $1,000 Qd = 16,000 When P = $1,500 Qd = 8,000 E. P = 2,000 – (1/16)Qd, If Qd = 24,000 then P = $500 which means the marginal value of the 24,000th unit is equal to $500. #9 QS = 19 + 20PX – 10PI + 6T – 32Pr - 20Pe +5F A. PI = 8, T = 4, Pr = 4, Pe = 5, and F=47 Qs = -30 + 20PX 1 Supply 8 7 Price ($) 6 5 4 3 2 1 0 0 20 40 60 80 100 120 140 Quantity B. If PI rises from 8 to 9 then Qs = -40 + 20PX Supply 8 7 Price ($) 6 5 4 old 3 new 2 1 0 0 20 40 60 80 100 120 140 Quantity C. The coefficient on the related good’s price (Pr) is -32, which means for every dollar increase in the price of the related good production of the good we are interested in decreases by 32 units. Logically, the two goods must be substitutes in production. D. 19 = intercept term: quantity supplied if all other variables are zero (this normally has little economic content because we are unlikely to see a situation in which all other variables take on a value of zero). +20 = Slope parameter on price: how much does quantity supplied increase when price increases by $1. -10 = slope parameters on input prices: how much does quantity supplied decrease when input prices increase by $1. 2 +6: slope parameter on technology: If technology improves by one unit then output will increase by 6 units. -32 = Slope parameter on price of related good. If the price of the related good increases by $1, production of the good of interest will decrease by 32 units. -20 = Slope parameter on price expectations. For every $1 increase in future expected prices, current production will decrease by 20 units. 5 = Slope parameter on industry capacity. For every on unit increase in the measure of capacity utilization industry output will increase by 5 units. #12 A. B. C. D. Quantity supplied, 15,000, fall Quantity demanded, 78,000, rise $550 60,000 #13 Qd = 50 – 8P Qs = -17.5 + 10P A. Equilibrium P: 50 – 8P = -17.5 + 10P 67.5 = 18P P=3.75 Equilibrium Q: 50 – 8*3.75 = 20; -17.5 + 10*3.75 = 20 B. If P = 2.75 Qd = 28, QS = 10: Shortage of 18 units will put upward pressure on price. C. If P = 4.25 Qd = 16, QS = 25: Excess quantity supplied of 9 units will put downward pressure on price. D. Qd = 59 – 8P Qs = -17.5 + 10P Equilibrium P: 59 – 8P = -17.5 + 10P 76.5 = 18P P=4.25 Equilibrium Q: 59 – 8*4.25 = 25; -17.5 + 10*4.25 = 25 E. Qd = 50 – 8P Qs = -40 + 10P Equilibrium P: 50 – 8P = -40 + 10P 90 = 18P P=5 Equilibrium Q: 50 – 8*5 = 10; -40 + 10*5 = 10 Page 85: #2 A. A freeze will shift supply to the left, increase price and decrease equilibrium quantity. 3 Florida Freeze 12 10 Prce($) 8 6 Qs 4 Qd New 2 0 0 10 20 30 40 50 Quantity B. New technology will shift the supply to the right, decrease price and increase equilibrium quantity. New Technology 12 10 Prce($) 8 6 Qs 4 Qd New 2 0 0 20 40 60 80 100 Quantity C. Health news will shift the demand to the right, increase price and increase equilibrium quantity: 4 Health News 12 10 Prce($) 8 6 Qs 4 Qd New 2 0 0 10 20 30 40 50 Quantity D. The decrease in price of Florida Grapefruit will shift demand to the left (it would take too long for supply to shift to the right): Grapefruit Prices Fall 12 10 Prce($) 8 6 Qs 4 Qd New 2 0 0 10 20 30 Quantity 5 40 50