Linear Programming Application Transportation Problem The Navy has 9‚000 pounds of material in Albany‚ Georgia that it wishes to ship to three installations: San Diego‚ Norfolk‚ and Pensacola. They require 4‚000‚ 2‚500‚ and 2‚500 pounds‚ respectively. Government regulations require equal distribution of shipping among the three carriers. The shipping costs per pound for truck‚ railroad‚ and airplane transit are shown below. Formulate and solve a linear program to determine the shipping
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loft angle and linear velocity From the Figure 7‚ there is a negative relationship between the loft angle of golf club and the linear velocity of golf ball. Which means as the loft angle increases‚ the linear velocity of ball decreases. The golf ball travels with relatively fast velocity at 9.2ms-1‚ when the loft angle is 0 degree‚ but it travels relatively slower at 3.7ms-1 when the loft angle is 80 degree. Also‚ the shape of graph seems to be a non linear graph rather than linear graph‚ because
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01: Introduction to linear control systems Definition 1 (Control system). an interconnection of subsystems and processes forming a configuration that will lead to the desired output‚ given a specified input. Desired output Reference input Control system plant reference input Actual output system response controlled variable The control system manipulates the input of the process to get the desired response 2 EE352: Lecture 01: Introduction to linear control systems
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NC. It’s a resort town in the Blue Ridge Mountains. The attractions here are mostly outdoor activities taking place in the secluded wilderness. The population is only about 1500 and the average cost of a house from my data is $485‚839.50. For my linear regression‚ I am modeling the relationship between the price of homes‚ being my dependent variable‚ and some characteristics of the homes‚ being my explanatory variables. Originally my data consisted of the following for real estate in Blowing Rock
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SHAREHOLDERS: DIVIDENDS AND SHARE REPURCHASES (Difficulty: E = Easy‚ M = Medium‚ and T = Tough) Multiple Choice: Conceptual Easy: Dividends versus capital gains Answer: d Diff: E [i]. Myron Gordon and John Lintner believe that the required return on equity increases as the dividend payout ratio is decreased. Their argument is based on the assumption that a. Investors are indifferent between dividends and capital gains. b. Investors require that the dividend yield and
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statements about dividend policies is CORRECT? a. Modigliani and Miller argue that investors prefer dividends to capital gains because dividends are more certain than capital gains. They call this the ―bird-in-the hand‖ effect. b. One reason that companies tend to avoid stock repurchases is that dividend payments are taxed at a lower rate than gains on stock repurchases. c. One advantage of dividend reinvestment plans is that they allow shareholders to avoid paying taxes on the dividends that they
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Project 1: Linear Correlation and Regression Analysis Gross Revenue and TV advertising: Pfizer Inc‚ along with other pharmaceutical companies‚ has begun investing more promotion dollars into television advertising. Data collected over a two year period‚ shows the amount of money Pfizer spent on television advertising and the revenue generated‚ all on a monthly bases. |Month |TV advertising |Gross Revenue | |1 |17 |4.1 | |2
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= −2 1 5 1 0 1 0 1 0 2 7 2 −3 2 1 0 1 −2 11 −2 21 −2 −7 12 −7 −3x2 = 21 x1 + 2 x2 = −2 x2 = −7 x1 = 12 x2 = −7 1 2 CHAPTER 1 • Linear Equations in Linear Algebra 3. The point of intersection satisfies the system of two linear equations: x1 + 5 x2 = 7 x1 − 2 x2 = −2 1 1 5 −2 7 −2 x1 + 5 x2 = 7 Replace R2 by R2 + (–1)R1 and obtain: Scale R2 by –1/7: Replace R1 by R1 + (–5)R2: The point of intersection is
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This article considers the relationship between two variables in two ways: (1) by using regression analysis and (2) by computing the correlation coefficient. By using the regression model‚ we can evaluate the magnitude of change in one variable due to a certain change in another variable. For example‚ an economist can estimate the amount of change in food expenditure due to a certain change in the income of a household by using the regression model. A sociologist may want to estimate the increase
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9/12/10 IMP POW Linear Nim In this POW‚ we had to play a game called Linear Nim. In this game‚ we drew 10 lines on a paper‚ and we had to take turns crossing out 1‚ 2‚ or 3 of the marks. The person that crossed out the last mark was the winner. The first task of this POW was to find a winning strategy for this game. After we found this out‚ we were supposed to make variations to the game‚ for instance starting with more or less marks‚ or allowing a player to cross out more or less marks. We were
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