MNS
Ch02 - Intro to LP - Entire.pptx

# 350 the plastic constraint 2x 1 x 2 1000 sr 700

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350 The Plastic constraint 2X 1 +X 2  1000 SR 700 Graphical Analysis – the Feasible Region There are three types of feasible points Interior points. Boundary points. Extreme points.

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23 of 31 The graphical search for an optimal solution Start at some arbitrary profit, say profit = \$2,000 Then increase the profit, if possible... ...and continue until it becomes infeasible to go f Profit =\$4360 500 700 1000 500 Z SR
24 of 31 Summary of the optimal solution Space Rays = 320 dozen Zappers = 360 dozen Profit = \$4360 This solution utilizes all the plastic and all the production hours. Total production is only 680 (not 700). A slack value (implied variable) of 20 units. Space Rays production is less than Zappers production by 40 dozen, not greater than by 350 or less.

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25 of 31 Using Excel Solver – Spreadsheet
26 of 31 Linear Programming Setup Procedure 1. What is the Objective? (Qualitative) A. Maximize Profit. B. Minimize Cost. 2. What are the Decision Variables? (Qualitative) 3. How do the Objective and the Variables Relate? (Quantify) 4. What are the Constraints, Limitations or Restrictions? (Qualitative list) 5. What Type is Each Constraint? (Qualitative) 6. What is the Limiting Value for Each Constraint? (Quantify) 7. How Does Each Variable Relate to Each Constraint? (Quantify)

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27 of 31 Using Excel Solver to Find an Optimal Solution and Analyze Results In the Data Tab click Solver to obtain the following dialog box. Questions 1 & 3 Questio n 2 Questions 4 - 7 Must be Simplex LP Then CLICK Solve
28 of 31 Using Excel Solver – Optimal Solution High light desired Reports Click OK

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29 of 31 Using Excel Solver – Answer Report
30 of 31 Using Excel Solver – Sensitivity Report

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