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# ASSIGNMENT 1. LINEAR PROGRAMMING CASE STUDY

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Author: Christine Farr
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Assignment 1. Linear Programming Case StudyYour instructor will assign a linear programming project for this assignment according tothe following specifications.It will be a problem with at least three (3) constraints and at least two (2) decisionvariables. The problem will be bounded and feasible. It will also have a single optimumsolution (in other words, it won’t have alternate optimal solutions). The problem will alsoinclude a component that involves sensitivity analysis and the use of the shadow price.You will be turning in two (2) deliverables, a short writeup of the project and thespreadsheet showing your work.Writeup.Your writeup 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 theproblem is a maximization or minimization problem, as well as identify the resourcesthat constrain the solution. Identify each variable and explain the criteria involved insetting up the model. This should be encapsulated in one (1) or two (2) succinctparagraphs.After the introductory paragraph, write out the L.P. model for the problem. Include theobjective function and all constraints, including any non-negativity constraints. Then,you should present the optimal solution, based on your work in Excel. Explain what theresults mean.Finally, write a paragraph addressing the part of the problem pertaining to sensitivityanalysis and shadow price.Excel.

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