Matrices and Row Reduced Echelon Form

Please see the attached file for full problem description. 1. Five neighborhoods (NB) all want to raise money for a playground for their kids. The neighborhood that raises the most money will be able to choose the name of the park. To raise money, they all decide to have a bake sale and sell cookies (C), cakes (K), and muffin ...continues

Solve the following problem by the simplex method. Max 100x1 + 120x2 + 85x3

Solve the following problem by the simplex method. Max 100x1 + 120x2 + 85x3 s.t. 3x1 + 1x2 + 6x3 < 120 5x1 + 8x2 + 2x3 < 160 x1 , x2 , x3 > 0

Solve for the quantities of x and y which will maximize Z. What is the value of the slack variable associated with constraint 2?

Problems must be completed in QM or Lingo 10. Please see the attached file. 1.0 Given the following linear programming problem: Min Z = 2x + 8y Subject to (1) 8x + 4y 64 (2) 2x + 4y 32 (3) y 2 What is the minimal solution? Use Lingo10 or QM to solve. Include your solution screen shots 2.0 Max Z = $0 ...continues

This solution presents an equation form into a tableau form and provides the variables of interest in the initial basis.

Write the following problem in tableau form. Which variables would be in the initial basis? Max x1 + 2x2 s.t. 3x1 + 4x2 <= 100 2x1 + 3.5x2 >= 60 2x1 - 1x2 = 4 x1, x2 >= 0

Why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables

Use a graph to illustrate why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables, but a change in the right-hand sides of a binding constraint does lead to new values.

Simplex Procedure and Graphing Linear Programming problems

Describe and illustrate graphically the special cases that can occur in a linear programming solution. What clues for these cases does the simplex procedure supply?

I need a matrix that has no solution

I need a matrix with no solution, use row operations to matrix that has no solution. Use row operations to show why it has no unique solution. Also some matrices that have more then one solution (in fact, an infinite number of solutions) because the system is undetermined. (In other words, there are not enough constraints ...continues

Find the optimal order quantity

The Super Discount store (open 24 hours a day, every day) sells 8-packs of paper towels, at the rate of approximately 420 packs per week. Because the towels are so bulky, the annual cost to carry them in inventory is estimated at $.50 per pack. The cost to place an order for more is $20 and it takes four days for an order to arr ...continues

Establishing equations, interpreting values, drawing graphs and solving equations

This solution addresses linear equations in a step-by-step fashion. Solutions address setting up linear equations of word problems and their solutions. It also interprets slopes and intercepts of linear equations in the context of the problem. Also addressed is plotting graphs of linear equations on Excel spreadsheet.

Find the probability when the system is idle.

Question: For an M/G/1 system with λ=20 and µ=35, σ=.005, find: 1) the probability when the system is idle. 2) the average length of the queue. 3) the average number in the system.