Economics 500 – Problem Set #3 Consider a firm producing an output Q using the two inputs “labor” (L) and “capital” (K) according to the production function Q = K.5L.5 (i.e.‚ the amount of output produced Q is equal to the square root of K times the square root of L). Suppose that the firm is in a short-run situation in which K is fixed at one unit (K = 1) but labor is variable. Suppose that the user cost of capital‚ r‚ is $48 for each unit of K and that the wage rate‚ w‚ the cost of one unit
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Problem Set 3 ECON 973 Fall 2012 Fluctuations: Discrete Time Models Ben Brewer 12/10/12 1. a. Given this two-period problem of labor supply maxc1 ‚n1 ‚c2 ‚n2 ln[c1 ] + ln[1 − n1 ] + βln[c2 ] + βln[1 − n2 ] subject to the intertemporal budget constraint c1 [1 + r] + c2 = w1 n1 [1 + r] + w2 n2 Dividing each side by [1+r] for convenience gives c1 + c2 w 2 n2 = w 1 n1 + 1+r 1+r We can solve for consumption and labor supply in each period (c1 ‚ c2 ‚ n1 ‚ n2 ) by first setting up the Lagrangian
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Problem Set 3 - FINA 4200 Spring 2013 Due Wednesday February 26th before class I. Multiple Choices Chapter 2 1. According to the Capital Asset Pricing Model‚ investors are primarily concerned with portfolio risk‚ not the isolated risks of individual stocks. Thus‚ the relevant risk is an individual stock’s contribution to the overall riskiness of the portfolio. a. True b. False 2. Diversifiable risk‚ which is measured by beta‚ can be lowered by adding more stocks to a portfolio.
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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? Given: Formula: t = 3 mins = 180 s P = Wd/t W = 700 N d = 20 m Solution: P = 700 N x 20 m / 180 s P = 77.8 J/s 4. How much power is developed by a car that runs 80 m/s when
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return on invested capital (ROIC)? a. 14.91% NOPAT = $400 b. 15.70% To OCap=$2500 c. 16.52% NOPAT d. 17.39% TOC = ROIC $400/$2300= e. 18.26% 3. Aziz Industries has sales of $100‚000 and accounts receivable of $11‚500‚ and it gives its customers 30 days to pay. The industry average DSO is 27 days‚ based on a 365-day year. If the company changes its credit and collection policy sufficiently
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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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of incoming and outgoing traffic‚ while enabling other types is called a Firewall 2. The ________ tool provides a central access point for all of the network controls and connections on a computer running Windows 7. Network and Sharing Center 3. A device that connects one network to another is called a Router 4. The most common method for illustrating the operations of a network stack is the ________ ‚ which consists of ________ layers. Open Systems Interconnection (OSI) Reference model
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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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Problem Set 3 Complete all questions listed below. Clearly label your answers. 1. Will increases in government spending financed by borrowing help promote a strong recovery from a severe recession. Why or why not? 2. Does fiscal policy have a strong impact on aggregate demand? Did the shift of the federal budget from deficit to surplus during the 1990s weaken aggregate demand? Did the government spending increases and large budget deficits of 2008–2011 strengthen aggregate demand? Discuss. 3
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0 26.6 27.5 Net Income 13.5 10.5 7.7 Did Vallejo’s net income as a percent of sales increase‚ decrease‚ or remain unchanged over the 3 year period. Provide numerical support for your answer. Sales – Cost of Goods Sold – Expenses = Net Income 100 – 64.8 – 27.5 = 7.7 for 2010 100 – 62.9 – 26.6 = 10.5 for 2011 100 – 60.5 – 26.0 = 13.5 for 2012 During the 3 year period of 2010-2012‚ the net income increased as a percent of sales for the Vallejo Company due to the decrease as a percent of sales
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