Proposal – Generalizations of Newsvendor Problem 1. Introduction: The newsvendor model has been used in operations management and applied economics for years to determine optimal ordering quantity under uncertain demand. Perishable goods such as banana and lettuce cannot be carried from one period to another. Managers have to make decision on the inventory level of perishable goods over a very limited period. For example‚ due to the uncertainty of the demand of the newspaper‚ the newsboy
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1. Locating fire protection services: the location set covering model One problem faced by many communities is where to locate fire stations. Even though most people do not want to live next to a station‚ they do want fire protection services nearby. The value of fire services is time critical. If a crew at a station takes more than 10 minutes to reach a house fire‚ there are significant chances that the fire will consume major portions of the house and threaten occupants. Most fires can be easily
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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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Energy 1. A man climbs on to a wall that is 5 m high and gains 2200 J of 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
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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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1. EP Enterprises has the following income statement. How much net operating profit after taxes (NOPAT) does the firm have? Sales $1‚800.00 Costs 1‚400.00 Depreciation 250.00 EBIT $ 150.00 Interest expense 70.00 EBT $ 80.00 Taxes (40%) 32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00
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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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BE 13.8 Vertical analysis (common-size) percentages for Vallejo Company’s sales‚ cost of goods sold‚ and expenses are listed below: VERTICAL ANALYSIS 2012 2011 2010 Sales 100.0% 100.0% 100.0% Cost of goods sold 60.5 62.9 64.8 Expenses 26.0 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
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ECSE 443- introduction to Numerical Methods in EE Practice Problem Set – Chapter 4 (Note: This problem set is for extra practice. It is not for credit‚ and not to be handed in) Question 1: Suppose that in a study‚ several measurements were made to determine a particular quantity for different values of . The collected data are summarized in the following table: 1.0000 5.8823 1.5000 2.0000 2.5000 3.0000 3.5000 4.0000 4.5000 5.0000 5.5000 6.0000 8.8823 17.8821 11.8822 14.8826 26.8825 24.8822
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