Linear Programming : Pivoting a Simplex Tableau

The result of pivoting the simplex tableau x y u v M -2 1 1 0 0 0 6 4 0 -1 0 42 1 -2 0 0 1 0 About -2 (1st row, 1st column) is: a) x y u v M 1 -1/2 -1/2 0 0 0 0 7 3 1 0 84 0 -3/2 ½ 0 1 ...continues

Linear Programming and Simplex Methods : Maximum Value from a Simplex Tableau

Consider the simplex tableau: x y z u v M 2 1 0 -3 8 0 2 3 0 1 5 2 0 5 1 0 0 6 5 1 19 The tableau is the final one in a problem to maximize x+2y+3z. The maximum value of x+2y+3z occurs when: a. x = 2, y=5, z=0 b. x=2 ...continues

Linear Programming

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Systems of Equations : Supply and Demand Equatons, Gaussian Elimination and Computer Applications

1) Solve the following system of equations that model supply and demand for a product: p - q = 0 ( supply equation ) cp - q = -1 ( demand equation ) where p = price and q = quantity Solve first when c = 0.999 and a second time when c = 1.001. What does the difference in solutions suggest about t ...continues

Systems of Equations : Computer Applications and Substitution vs Elimination vs Matrix Methods

What computer applications can be used to graph systems of equations? Have you ever personally used any applications to graph an equation? In what circumstances does it make more sense to graph a system than to use the substitution, elimination, or matrix methods?

Finite Math

(See attached file for full problem description) --- 1. What is marginal cost? Fixed cost? Find the slope for each line that has a slope. 3. Through (-2, 5) and (4, 7) 5. Through the origin (11, -2) 7. 2x + 3y = 15 9. y + 4 = 9 11. y = -3x Find an equation in the form y = mx + b (where possible) for each line. ...continues

20 Systems of Equations Problems : Gauss-Jordan, Matrix Inverses, Production Matrices, Echelon Method and Application Word Porblems

(See attached file for full problem description) --- 1. What is true about the number of solutions to a system of m linear equations in n unknowns if m = n? If m < n? If m > n? Solve each system by the echelon method. 3. 2x + 3y = 10 -3x + y = 18 5. 2x - 3y + z = -5 x + 4y + 2z = 13 5x + 5y + 3z = 14 S ...continues

Ratio and Proportion Application Word Problem - If volume is 35 cubic feet, when height is 20 feet and the girth is 5 feet?

Girth is distance around. If volume is 35 cubic feet, when height is 20 feet and the girth is 5 feet. What is the heigth when the volume is 85.75 feet and the girth is 7 feet?

2 Sets of Problems - Regression : Correlation Coefficient, Scatterplot, Least-Squares and Data Analysis

(See attached file for full problem description) --- 47. In general, people tend to live longer in countries that have a greater supply of food. Listed below is the 1997 daily calorie supply and 2000 life expectancy at birth for 10 randomly selected countries. Country Calories (x) Life expectancy (y) Afghanistan 15 ...continues

Real-Life Experience with Maximizing or Minimizing and Application to Linear Programming; Geometric Discussion of the Simplex Method; Computer Programs for Linear Programming

(See attached file for full problem description) --- 1) Discuss from your own experience a case where you had to maximize or minimize something and also how you think linear programming techniques might have helped you arrive at your final decision. 2) Read the short, well-written article on the Simplex Method which ...continues