Linear Programming : Simplex Method

Maximize P = x1 + 2x2 + 3x3 using the simplex method. subject to the constraints 2x1 + x2 + x3 < 25 2x1 + 3x2 + 3x3 < 30 x1 > 0, x2 > 0, x3 > 0, ...continues

Equation of a Line

Find the equation of the line shown: Please see the attached file for the fully formatted problems.

Parallel treatments of a frequency distribution and a probability distribution.

Parallel treatments of a frequency distribution and a probably distribution. Frequency Distribution Complete the table below for the following data. (Recall that x is the midpoint of the interval.) 14, 7, 1, 11, 2, 3, 11, 6, 10, 13, 11, 11, 16, 12, 9, 11, 9, 10, 7, 12, 9, 6, 4, 5, 9, 16, 12, 12, 11, 10, 14, 9, 13, 10, 15, ...continues

Linear Equations:Predicted sales of a company

Suppose the sales of a company are given by S(x) = $200x + $20,000 where x is measured in years and x = 0 corresponds to the year 1996. Find the predicted sales in the year 2002 assuming the trend continues.

Break-Even Point

A manufacturer produces items at a daily cost of $1.25 per item and sells them for $2 per item. The daily operational overhead is $450. What is the breakeven point? keywords: break even point, breaking even

Solving Systems of Linear Equations

Determine whether this system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down. y = x x + z = 4

Linear Programming : Graphical Method

Solving Linear Programming Problems Graphically. See attached file for full problem description. #4 and 5 only. 4. Solve the following linear programming problem: Minimize g = 22x + 17y 8x + 5y ≥ 100 12x + 25y ≥ 360 x ≥ 0, y ≥ 0 5. A company manufactures backyard swing sets of two different sizes ...continues

Using Matrix Inverses to Solve Systems of Linear Equations

a) Find the inverse of: |2 1 1| |0 1 2| |2 2 1| b) Use it to solve the following system of equations: 2x1 + x2 + x3 = 4 x2 + 2x3 = 0 2x1 + 2x2 + x3 = 1.

Linear Equation

What is linear algebra? What is matrix algebra?

Linear Equation

What is the common meaning of the word linear? The mathematical meaning? What is a linear equation? A non-linear equation? What are some examples of each? What are some characteristics of their graphs?