lecture31aa - Lecture Graphical Sensitivity Analysis 1...

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Lecture 4/09/08 Graphical Sensitivity Analysis 1. Range of objective function coefficients. 2. Shadow Prices 3. Reduced costs
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Introduction ° Sensitivity analysis helps answer questions about how sensitive the optimal solution is to changes in various coefficients in an LP model.
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Blue Ridge Hot Tubs Example MAX: 350X 1 + 300X 2 } profit S.T.: 1X 1 + 1X 2 200 } pumps 9X 1 + 6X 2 1566 } labor 12X 1 + 16X 2 2880 } tubing X 1 , X 2 0 } nonnegativity
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Slope of Level Curves and Constraints Blue Ridge Hot Tubs Example Optimal corner point is intersection of pump constraint and labor constraint since slope of labor constraint line = -3/2 slope of pump constraint line = -1 slope of level curve = -7/6 Given general objective function: z= c 1 X 1 + c 2 X 2 ( Slope= -c 1 /c 2 ) Above corner point will remain optimal if -3/2 -c 1 /c 2 -1
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Sensitivity Analysis Blue Ridge Hot Tubs Example Suppose the unit profit of Hydro-Lux Hot Tub is fixed at $300. Find range of unit profit of Aqua-Spa so that current solution remains optimal. Soln:
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lecture31aa - Lecture Graphical Sensitivity Analysis 1...

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