Question: 1. If the objective function coefficient of T3 increases by $50, will the optimal solution change? What about the value of the objective function? 2.

1. If the objective function coefficient of T3

1. If the objective function coefficient of T3 increases by $50, will the optimal solution change? What about the value of the objective function?

2. How much should the objective function coefficient of T4 decrease for that to become an attractive alternative?

3. We can decrease C requirement by 3 units, while increasing the A requirement by 0.25 units. Is it worth the effort?

4. If the objective function coefficient of T1 decreases by $40 and the objective function coefficient of T2 increases by $10, what will be the impact on cost?

Min 800T1 + 400T2 + 600T3 + 500T4 s.t. 10T1 +372 +8T3 + 2T4 25 90T1 + 150T2 + 75T3 + 17514 > 100 45T1 + 25T2 +2013+3714 > 30 T1+T2+T3+T4= 1 All Ti> 0 (A Requirement) (B Requirement) (C Requirement) (Balance) (Nonnegativity) Variable Cells Cell $B$4 $C$4 $D$4 $E$4 Name Ton Fractions T1 Ton Fractions T2 Ton Fractions T3 Ton Fractions T4 Final Value 0.259 0.704 0.037 0 Reduced Cost 0 0 0 91.11 Objective Coefficient 800 4 00 600 500 Allowable Allowable Increase Decrease 223.64 120 66.85 300 85.71 118.27 1 E+30 91.11 Constraints Final Value Cell Name $F$12 Balance $F$9 A Requirement $F$10 B Requirement $F$11 C Requirement Shadow Price 155.56 44.44 0. 00 4.44 Constraint Allowable Allowable R.H. Side Increase Decrease 0.25 0.04 5 2 .37 0.25 1 00 31.67 1E+30 30 0.71 -Wir 131.67 Wini

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