QUESTION 7 From the sensitivity report for the Bolvill Mukluk Factory problem, e

Question

QUESTION 7 From the sensitivity report for the Bolvill Mukluk Factory problem, explain what the shadow price and the allowable increase and decrease means for sewing Variable Cells Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 10 1E+30 Cell Name SB$18 Changing Cells (number of each decision variable) xi 18 Changing Cells (number of each decision variable) 80 Constraints Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 2 1E 30 3 1E+30 Cell SBS18 Changing Cells (number of each decision variable) x1 SC$18 Changing Cells (number of each decision variable) x2 cutting

Explanation / Answer

Shadow price of sewing constraint is 20, which means each additional unit of sewing resource results in an improvement of 20 units in the objective value.

Similarly, shadow price of market constraint is -10, which means an increase of 1 unit in the RHS of market constraint results in decrease of 10 units in the objective value.

Allowable increase for sewing is 0 and allowable decrease is 12. It means that shadow price is valid upto increase of 0 and upto decrease of 12 units in the RHS of sewing constraint.

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