lecture31aa

# lecture31aa - Lecture Graphical Sensitivity Analysis 1...

This preview shows pages 1–6. Sign up to view the full content.

Lecture 4/09/08 Graphical Sensitivity Analysis 1. Range of objective function coefficients. 2. Shadow Prices 3. Reduced costs

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Introduction ° Sensitivity analysis helps answer questions about how sensitive the optimal solution is to changes in various coefficients in an LP model.
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 13

lecture31aa - Lecture Graphical Sensitivity Analysis 1...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online