MAT 540 Week 8

Week 8 Assignments:

Discussion:

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 (which are part of your homework assignment). Formulate a linear programming model for the problem you select.

Homework problems:

Complete the following problems from Chapter 4:

Problems 14, 19, 20, 22, 36, 43

Week 8 Assignment 1:

·         Assignment #1: Case Problem "Julia's Food Booth"

Complete the "Julia's Food Booth" case problem on page 109 of the text. Address each of the issues A - D according the instructions given.

·         (A) Formulate and solve an L.P. model for this case.

·         (B) Evaluate the prospect of borrowing money before the first game.

·         (C) Evaluate the prospect of paying a friend $100/game to assist.

·         (D) Analyze the impact of uncertainties on the model.

• Write up.

Your write up should introduce your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution. Identify each variable and explain the criteria involved in setting up the model. This should be encapsulated in one (1) or two (2) succinct paragraphs.

After the introductory paragraph, write out the L.P. model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.

Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.