condition. The Budget Constraint Consumption bundles: （消费束，商品组合）: a list of numbers of goods and services. X = (x1‚ x2‚ …‚ xn‚) In the case of two goods: good 1 and good 2. Bundle of goods: X = (x1‚ x2) Prices of goods: (p1‚ p2)‚ The amount of money the consumer has to spend: m. The consumer’s affordable consumption bundles‚ (x1‚ x2) satisfy p1x1 + p2x2 ≤ m. ----The budget set of the consumer (预算集) . good 2
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NUMBERS Show that square of any odd integer is of the form of 4p+1 for some integer p. Show that (12)n‚ where n is a natural number cannot end with the digit 0 or 5. Prove that each of the following are irrational : 1 a] 7 − 3 2 b] c) 3 + 5 5 +2 Use Euclid’s division algorithm‚ to find the HCF of a] 455 & 42 b] 392 & 267540 Express each of the following as a non-terminating recurring decimal a] 1/7 b] 13/44 c] 1/15 d] 1/370 Find the HCF and LCM of 30‚72 and 432 by using the fundamental theorem of arithmetic
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20 = 96 11 * 7 = 67 19 * 11 = ? 1. 207 b) 194 c) 191 d) 209 Q.2: 6 * 3 = 13 5 * 20 = 96 11 * 7 = 67 19 * 11 = ? 1. 207 b) 194 c) 191 d) 209 Q.3: If a box containing two dozen cups is dropped than which of the following cannot be the ratio of broken and unbroken cups? 1. Q.3: 2 : 1 b) 6 : 1 c) 5 : 1 d) 3 : 1 1. 2:1 b) 6 : 1 c) 5 : 1 d) 3 : 1 Q.4: in a certain code‚ 15789 written as XTZAL and 2346 are written as NPSU‚ How is 23549 written
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How to create edits for DDR X2 DDR X2 supports customized step charts that can be loaded from a USB thumb drive. There are two ways to create edit data for play on DDR X2. The first method is visiting http://ddredit.konamionline.com/ddrse/ and using Konami’s online Step Editor. This Step Editor is flash based and supports a fraction of the song list found on DDR X and DDR X2. The Step Editor produces a .DAT file that must be saved to your hard drive. The name of the file will indicate the name of
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Recover Deleted/Lost Data from Integral Ultima Pro-X2 Memory Card Integral Ultima Pro-X2 Memory Card Integral Ultima Pro-X2 Memory Card is a professional-grade memory card‚ ideal for high end DSLRs and compact cameras. These memory cards are the best choice for cameras and camcorders that record 4K‚ 3D and full HD content. Their high speed‚ excellent performance and durability makes them the choice of professionals all over. The Integral Ultima Pro-X2 Memory Card range of memory cards is enabled for
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Chapter 3‚ Problem 8 Information from problem 7. Formulate LPM to determine the number of basketballs and footballs to produce in order to maximize profit. X1 -- # of basketballs X2 -- # of footballs Maximize Z = 12x1 + 16x2 Subject to: 3x1 + 2x2 ≤ 500 4x1 + 5x2 ≤ 800 X1‚ x2 ≥ 0 Transform this model to standard form. Maximize Z = 12x1 + 16x2 + 0s1 +0s2 3x1 + 2x2 + s1 = 500 4x1 +5x2 + x2 = 800 X1‚ x2‚ s1‚ s2 ≥ 0 a). Identify the amount of unused resources (slack) at each of
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Name: Laura Meng SID: 22430663 GSI: Johnathan Wright Section #112 Laboratory 0: “400 Years of the Telescope” The PBS documentary outlines our progressive journey in the field of astronomy and the resulted revolutionary discoveries from the continually improving technologies. The history of telescopes first began in the sixteen hundreds‚ when Hale’s invention of refracting telescopes drastically changed people’s view of the Universe at the time‚ for the view from the telescope revealed the
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Altman Z-score is a financial model to predict the likelihood business failure in a company and created by Edward I. Altman in 1968. Altman developed a z-score model using ratios as its foundation. The purpose of the Z-score model is to measure a company’s financial health and predict the probability of failure up to 2-3 years in advance by using a weighting system combined with four or five financial ratios. Altman created three different Z-score models which is original Z-score model‚ model "A"
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MATH 4321 Spring 2013 Assignment Solution 0-Sum Games 2 1. Reduce by dominance to 2x2 games and solve. 5 4 4 3 (a) 0 1 1 2 1 0 2 1 4 3 1 2 10 0 7 1 (b) 2 6 4 7 6 3 3 5 Solution: (a). Column 2 dominates column 1; then row 3 dominates row 4; then column 4 dominates column 3; then row 1 dominates row 2. The resulting submatrix consists of row 1 and 3 vs. columns 2 and 4. Solving this 2 by 2 game and moving back to the original game we find that value is
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Titu’s contributions to numerous textbooks and problem books are recognized worldwide. Dorin Andrica received his PhD in 1992 from “Babes-Bolyai” University in ¸ Cluj-Napoca‚ Romania‚ with a thesis on critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at “Babes-Bolyai” since 1995. Dorin has ¸ written and contributed to numerous mathematics textbooks‚ problem books‚ articles and scientific papers at various
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