ATILIM UNIVERSITY DEPARTMENT OF MATHEMATICS Math 211 - Discrete Mathematics with Applications 2010-2011 Fall Semester Problem Set I Prepared by Mehmet TURAN O−‚ Ω−‚ Θ− Notations 1. Let f and g be real valued functions defined on the same set of nonnegative real numbers. (a) Prove that if g(x) is O(f (x))‚ then f (x) is Ω(g(x)). (b) Prove that if f (x) is O(g(x)) and c is any nonzero ral number‚ then cf (x) is O(cg(x)). (c) Prove that if f (x) is O(h(x)) and g(x) is O(k(x))‚ then f (x) + g(x) is
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Microeconomics (Fall 2014) Simon Bowmaker Problem Set 6 Submit at lecture (Monday‚ November 10) Write your answers on separate sheets of paper. Please include: your name your recitation teacher’s name day and time of the recitation NB: if your recitation takes place on Monday morning‚ you must submit your assignment to your teacher at the beginning of the recitation. 1. Assume a monopolist faces the following market demand: Q = 100 - 2P. The monopolist’s total cost function is TC = 5+8Q2. What
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73-240 | Recitation A Problem Set 1 Problem 1: Nominal GDP‚ Real GDP‚ Price Indices‚ and Inflation A. Nominal GDP in Year 1 = $430 Nominal GDP in Year 2 = $617.50 Growth Rate of Nominal GDP = 44% B. RGDP(1) in Year 1 = $430 RGDP(1) in Year 2 = $410 RGDP(1) growth = -4.65% RGDP(2) in Year 1 = $655 RGDP(2) in Year 2 = $617.50 RGDP(2) growth = -5.73% The answer differs depending on which base year you use because the relative prices of the goods in comparison to each other (price
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Beer’s Law Problem Set Spring 2013 1. Calculate the absorbances corresponding to the following values of the percentage of transmitted light: (Provide your final answer with three decimal places) a. 95% b. 88% c. 71% d. 50% e. 17.5% f. 1% 2. A solution of a compound (1.0mM) was placed in a spectrophotometer cuvette of light path 1.05cm. The light transmission was 18.4% at 470nm. Determine the molar extinction coefficient. Include units in your answer. 3. The molar extinction coefficient of reduced
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6.2a The objective of this problem is to found the price charged by Peter. Firstly‚ the below table illustrate all P‚ TR‚ TC‚ MR and MC when there is different Number of member served (Q). No. of member served (Q) Price per member(P) Total revenue (TR) Total cost (TC) Profit Marginal revenue (MR) Marginal cost (MC) 1 400 400 190 210 400 190 2 380 760 380 380 360 190 3 360 1080 570 510 320 190 4 340 1360 760 600 280 190 5 320 1600 950 650 240
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Department of Economics University of California‚ Berkeley Fall 2012 Econ 182 Solutions Problem Set 8 Problem 1. Exchange Rates and International Transmission a. Suppose that the US engages in a monetary expansion. Since exchange rate is pegged to the US dollar‚ country X’s monetary authorities are forced to expand their money supply as well (recall that i = i* under FixER). Interest rates fall in country X‚ output expands‚ and of course the exchange rate remains unchanged. On the AA-DD diagram
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ECON 213 PROBLEM SET 3 Name: ___Krystal Logsdon_____________________________________ Problem Set 3 is to be completed by 11:59 p.m. (ET) on Monday of Module/Week 6. 1. Data for the market for graham crackers is shown below. Calculate the elasticity of demand between the following prices. Price of crackers Quantity Demanded (per month) $3 80 $2.5 120 $2 160 $1.5 200 $1 240 $1.00 - $1.50: __*_-0.333__________________________ $1.50 - $2.00: __*__-0.6___________________________ $2.00 -
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Macroeconomics Problem Set 3 *Solution* Fall 2010 (Instructor: Li‚ Yao; TA: Fok Pik Lin‚ Astor) -----------------------------------------------------------------------------------------------------------------------------------Posted: Monday‚ November 1‚ 2010 Due: 5:30 PM Monday‚ November 8‚ 2010 40 marks total Part I: True/False/Uncertain Please justify your answer with a short argument for each question and draw a diagram if necessary. (15 marks‚ 3 marks each: 1 mark for correct judgment and 2 marks
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Week 7 Problem Set Chapter 26 (page 903): 1. Answer the following questions: a. What is the difference between a firm’s cash cycle and its operating cycle? b. How will a firm’s cash cycle be affected if a firm increases its inventory‚ all else being equal? c. How will a firm’s cash cycle be affected if a firm begins to take the discounts offered by its suppliers‚ all else being equal? 4. The Greek Connection had sales of $32 million in 2012‚ and a cost of goods sold of $20 million. A simplified
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Problem Set #3: Edited Version Page 100 – Problems and Applications 1. The three functions of money are medium of exchange‚ unit of account‚ and store of value. Medium of exchange refers to money being accepted as everyday currency‚ that you can go into a store and be confident in the fact that they will accept your money for goods and services. Store of value is defined as the ability of money to retain its value of time; in other words‚ $100 today will be $100 tomorrow‚ next month or 6
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