Greater or equal to input the left hand side and

This preview shows page 43 - 51 out of 51 pages.

greater or equal to Input the left-hand side and right-hand side of the equality (or inequality) Each row is one constraint Select nonnegative variable if ALL variables are nonnegative in nature. Constraints 2013 43 QSO 510 Solver in Excel
Image of page 43

Subscribe to view the full document.

Wilson Manufacturing Variables Baseballs Softballs Dozens 100 200 Objective Baseballs Softballs Total Profit Unit Profit $7.00 $10.00 =B7*B4+C7*C4 Constraints Baseballs Softballs Total Limits Cowhide 5 6 =B10*B4+C10*C4 <= 3600 Production time 1 2 =B11*B4+C11*C4 <= 960 Capacity Baseball =B4 <= 500 Capacity Softball =C4 <= 500 Wilson Manufacturing Example 2013 44 QSO 510 Solver in Excel
Image of page 44
Objective Final optimal result Variable Optimal decisions Constraints Whether a condition is binding or non-binding at optimal. What’s the effect of changing a parameter? Objective coefficient Constraint limit Answer Report Sensitivity Report 2013 45 QSO 510 Interpret Solver Results
Image of page 45

Subscribe to view the full document.

2013 46 QSO 510 Answer Report Objective Cell (Max) Cell Name Original Value Final Value $D$7 Unit Profit Total Profit 5,520.00 $ 5,520.00 $ Variable Cells Cell Name Original Value Final Value Integer $B$4 Dozens Baseballs 360 360 Contin $C$4 Dozens Softballs 300 300 Contin Constraints Cell Name Cell Value Formula Status Slack $D$10:$D$13 <= $F$10:$F$13 $D$10 Cowhide Total 3600 $D$10<=$F$10 Binding 0 $D$11 Production time Total 960 $D$11<=$F$11 Binding 0 $D$12 Capacity Baseball Total 360 $D$12<=$F$12 Not Binding 140 $D$13 Capacity Softball Total 300 $D$13<=$F$13 Not Binding 200
Image of page 46
Sensitivity Report What’s the effect of changing a parameter? Objective coefficient Constraint limit 2013 QSO 510 47 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$4 Dozens Baseballs 360 0 7 1.333333333 2 $C$4 Dozens Softballs 300 0 10 4 1.6 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $D$10 Cowhide Total 3600 1 3600 280 720 $D$11 Production time Total 960 2 960 160 93.33333333 $D$12 Capacity Baseball Total 360 0 500 1E+30 140 $D$13 Capacity Softball Total 300 0 500 1E+30 200
Image of page 47

Subscribe to view the full document.

What’s effect of changing the objective function coefficient? When will the optimal solution remain the same? The optimal decisions remain the same when Coefficient for baseball is Coefficient for softball is Objective Function 2013 48 QSO 510 Sensitivity Report Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$4 Dozens Baseballs 360 0 7 1.333333333 2 $C$4 Dozens Softballs 300 0 10 4 1.6
Image of page 48
Changing the limit of nonbinding constraints produces no effect Optimal decisions remain the same.; Shadow price for that resource is 0; Remains no effect when the limit is Baseball capacity Softball capacity 2013 49 QSO 510 Sensitivity Report—Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $D$10:$D$13 <= $F$10:$F$13 $D$10 Cowhide Total 3600 1 3600 280 720 $D$11 Production time Total 960 2 960 160 93.33333333 $D$12 Capacity Baseball Total 360 0 500 1E+30 140 $D$13 Capacity Softball Total 300 0 500 1E+30 200
Image of page 49

Subscribe to view the full document.

Changing the limit of binding constraints produces effect Optimal decisions change;
Image of page 50
Image of page 51

{[ snackBarMessage ]}

Get FREE access by uploading your study materials

Upload your study materials now and get free access to over 25 million documents.

Upload now for FREE access Or pay now for instant access
Christopher Reinemann
"Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

Ask a question for free

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern