2014/9/16 Linear Equations Ad Options Ads by Vidx Linear Equations A linear equation is an equation for a straight line These are all linear equations: y = 2x+1 5x = 6+3y y/2 = 3 x Let us look more closely at one example: Example: y = 2x+1 is a linear equation: The graph of y = 2x+1 is a straight line When x increases‚ y increases twice as fast‚ hence 2x When x is 0‚ y is already 1. Hence +1 is also needed So: y = 2x + 1 Here are some example values: http://www.mathsisfun.com/algebra/linear-equations
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Linear Programming History of linear programming goes back as far as 1940s. Main motivation for the need of linear programming goes back to the war time when they needed ways to solve many complex planning problems. The simplex method which is used to solve linear programming was developed by George B. Dantzig‚ in 1947. Dantzig‚ was one in who did a lot of work on linear programming‚ he was reconzied by several honours. Dantzig’s discovery was through his personal contribution‚ during WWII when Dantzig
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MC-B TOPIC; LINEAR PROGRAMMING DATE; 5 JUNE‚ 14 UNIVERSITY OF CENTRAL PUNJAB INTRODUCTION TO LINEAR PROGRAMMING Linear programming (LP; also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming
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The development of linear programming has been ranked among the most important scientific advances of the mid 20th century. Its impact since the 1950’s has been extraordinary. Today it is a standard tool used by some companies (around 56%) of even moderate size. Linear programming uses a mathematical model to describe the problem of concern. Linear programming involves the planning of activities to obtain an optimal result‚ i.e.‚ a result that reaches the specified goal best (according to the mathematical
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Describe the payout policy of Linear Technologies historically. Describe Linear’s current cash position and its financing needs. The company initiated its dividend in 1993 with a relatively conservative payout ratio of 15%‚ based on a quarterly dividend of $0.05/share/quarter ($0.00625 split adjusted as per Exhibit 3). As of 3Q2003‚ the dividend is also $0.05/share/quarter‚ adjusted for stock splits‚ which translates into a payout ratio of . The payout ratio is currently 27.5% on an as adjusted
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The SaleS learning Curve & virTual SaleS Advice for a successful startup‚ product launch or foray into new sales territory W hen launching a new company‚ product or service or expanding into a new territory‚ the temptation is often to hire a new VP of sales‚ some enterprise reps and build a high powered sales force as quickly as possible. It has been demonstrated‚ however‚ that ramping up a sales force too quickly can have very negative impact on the bottom line. As founding Chairman and CEO
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Stock Market Model (Sine Curve) Sine curve is a technique used in everyday life. Whether it be from sound waves‚ to electrical curves‚ or light waves‚ sine curve is all around us. One place that is hugely affected by sine curve is the STOCK MARKET. The stock market is where “ publicly held companies are issued or traded through either exchanged or over-the-counter market”(investopedia.com). The purpose of using sine curve is to show whether or not the market is a cycle mode or a trend mode
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TO: Board of Directors‚ Linear Technologies FROM: Mr. Paul Coghlan CFO‚ Linear Technologies RE: Dividend Policy Summary: Based on the financials to date and the forward looking capital investments required Linear should increase their dividend payout by $0.01 per share. Entering the fourth quarter of 2003 the market seems to show continued signs of improvement. The company has shown steady growth and revenues are forecasted to exceed 2002’s by 19%. The forecast shows net income coming in
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The Laffer curve‚ named after the economist Arthur Laffer‚ is a curve that demonstrates the trade-off between tax-rates and tax-revenues (Wanniski 1978). It is used to illustrate the concept of taxable income elasticity‚ the idea that a government can maximise the revenue by setting the tax rates at an optimum point. This curve can be traced back as far as 1844 to a French economist Jules Dupit who in 1844 found similar effects as Laffer did (Laffer 2004). Dupit also saw tax revenues rising from
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10 Money Market and the LM Curve MACROECONOMICS Macroeconomics Prof. N. Gregory MankiwRudra SensarmaKozhikode Indian Institute of Management www rudrasensarma info www.rudrasensarma.info ® PowerPoint Slides by Ron Cronovich © 2013 Worth Publishers‚ all rights reserved Learning objectives & outcomes • Money Market & the LM Curve – Real Money‚ Real Income & Interest Rate y‚ – Deriving the LM Curve – Monetary Policy & the LM Curve 2 Financial Markets (Money Market) and the LM
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