U(x‚y) = x11/2x21/2 L (x1‚x2‚λ) = x11/2x21/2 + λ (I – px1x1 – px2x2) ɗL/ɗx1 = (1/2)x1-1/2 x21/2 – λpx1 = 0 ɗL/ɗx2 = (1/2)x11/2 x2-1/2 –λpx2 = 0 ɗL/ɗλ = I – px1x1 – px2x2= 0 => px1/px2 = x2/x1 => x1 = (px2x2) / px1. Put this in the budget constraint: I = px1(px2x2) / px1 + px2x2 => x2* = I / 2px2 Using the same way to find the demand function of good 1‚ we obtain: x1* = I / 2px1 b) x1* = 24 / (2∙1) = 12 x2* = 24 / (2∙2) = 6 c) x1* = 24 / (2∙1) = 12 x2* = 24 / (2∙3) = 4 d) Substitution
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Economic Analysis Dexter Wilson ECO/365 2/17/2014 When we talk about the difference between a movement along and a shift of the demand curve we have to know that one works off of demand and the other works off of quantity demand. They both work off the law of demand but it states that when the quantity demand rises the price will tend to fall. On the other hand when the quantity supplied goes up the prices will go up too. What we will talk
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Math – 213 Problem Set Solve each of the following problems. 1. A coin is tossed four times. What is the probability that at least 2 heads will occur? 2. A pair of dice is rolled. What is the probability that the sum is equal to the following? a. 5 b. 10 c. at most 9 d. at least 8 3. A chip is drawn at random from a jar containing 8 red‚ 2 blue‚ 3 green‚ 4 yellow‚ and 3 white chips. Determine the probability that it is: a. Red b. Yellow or red c. Not orange 4. In a graduating class of 300 students
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Me1 Problem Set #2 The US College Enrollment and the “Third Law of Demand” A theorem proposed by Professors Alchian and Allen in their text‚ University Economics (1964) has had several rebirths of interest in the literature. The so-called “third law of demand‚” or “relative price theorem‚” holds that a fixed cost added to a good of varying quality causes the consumer to prefer the category considered of higher quality to the lower. Recently a number of studies‚ keeping this theorem in mind have
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potential energy. What is the mass of the man? Given: Formula: h = 5 m m = PE/gh PE = 2200 J Solution: m = 2200 J / (9.8 m/s2 x 5 m) m = 49 kg 2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s. Given: Formula: m = 500 kg KE = mv2/2 v = 50 m/s Solution: KE = 500 kg x (50 m/s)2 / 2 KE = 625 000 J Power 3. Riley climbs a flight of stairs in 3 minutes. If he weighs 700 N and the stairs is 20 m from the ground‚ how much power will she develop
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ECE 302 Problem Set 9 Fall 2013 The following problems have been selected from the course text. 4.78 In a large collection of wires‚ the length of a wire is X‚ an exponential random variable with mean 5π cm. Each wire is cut to make rings of diameter 1 cm. Find the probability mass function for the number of complete rings produced by each length of wire. 4.85 The exam grades in a certain class have a Gaussian pdf with mean m and standard deviation σ. Find the constants a and b so that
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GENERAL BIOCHEMISTRY Problem Set No. 1 Answered by: Andrea Rose A. Fajardo of BSFT 2-1N 1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of: a. 2:1 pH = 4.76 + log[2]/[1] = 4.76 + 0.3010 = 5.06 b. 1:4 pH = 4.76 + log[1]/[4] = 4.76 + (-0.6021) = 4.16 c. 6:5 pH = 4.76 + log[6]/[5] = 4.76 + 0.0792
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32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00 d. $94.50 Tax Rate 40% e. $99.23 NOPAT=$90.0 2. Tibbs Inc. had the following data for the year ending 12/31/07: Net income = $300; Net operating profit after taxes (NOPAT) = $400; Total assets = $2‚500; Short-term investments = $200; Stockholders’ equity = $1‚800; Total debt = $700; and Total operating
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move the supply curve to the left. Answer No. 2 Full Employment: AD 2 1 100 180 AD 2 1 100 180 Economic boom : :1 AD1 2 1 80 200 AD2 140 AD1 2 1 80 200 AD2 140 Recession: P Y AD1 2 1 80 200 AD2 140 P Y AD1 2 1 80 200 AD2 140 Short Run and Long Run Aggregate Supply Curves Full Employment YP=140 P 2 1 LRAS YP=140 P 2 1 LRAS Economic boom 2 1 AS YP=140 2 1 AS YP=140 Recession: P Y 1
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Econ 214 Problem Set 4 1. What determines whether a financial asset is included in the M1 money supply? Why are interest-earning checkable deposits included in M1‚ whereas interest-earning savings accounts and Treasury bills are not? A financial assest is included in the M1 money supply when it can be quickly converted into the physical form of money‚ such as dollars and coins. Interested-earning checkable deposits are included because it can be quickly accessible without limitations
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