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Which of the Constraints Are Binding at the Optimal Solution

Question 46

Essay

Which of the constraints are binding at the optimal solution for the following problem and Risk Solver Platform (RSP) sensitivity output?
MAX:7X1+4X2 Subject ta: 2X1+X210X1+X2102X1+5X240X1X20\begin{array} { l l } \operatorname { MAX } : & 7 \mathbf { X } _ { 1 } + 4 \mathbf { X } _ { \mathbf { 2 } } \\\text { Subject ta: } & 2 \mathbf { X } _ { 1 } + \mathbf { X } _ { \mathbf { 2 } } \leq 10 \\& \mathbf { X } _ { 1 } + \mathbf { X } _ { \mathbf { 2 } } \leq 10 \\& 2 \mathbf { X } _ { 1 } + 5 \mathbf { X } _ { \mathbf { 2 } } \leq 40 \\& \mathbf { X } _ { 1 } \mathbf { X } _ { \mathbf { 2 } } \geq \mathbf {0 }\end{array} Changing Calls\text {Changing Calls}
 FinalReduced Objective Allowable Allowable  Cell  Name  Value  Cost  Coefficient  Increase  Decrease $ B$4 Number to make: X160713$C$4 Number to make: X240430.5\begin{array}{llrrrrr}&&\text { Final} &\text {Reduced }&\text {Objective }&\text {Allowable}&\text { Allowable }\\\text { Cell } & \text { Name } & \text { Value } & \text { Cost } & \text { Coefficient } & \text { Increase } & \text { Decrease } \\\hline \$ \mathrm{~B} \$ 4 & \text { Number to make: } \mathrm{X} 1 &6& 0 & 7& 1& 3 \\\$ \mathrm{C} \$ 4 & \text { Number to make: } \mathrm{X} 2 & 4 & 0 & 4 &3 & 0.5\end{array}

Constraints\text {Constraints}
 Final Shadow Constraint Allowable Allowable  Cell  Name  Value  Price  R.H. Side  Increase  Decrease $D$8 Used 1631642.67$D$9 Used 1011012$D$10 Used 320401E+308\begin{array}{llrrrrr}&&\text { Final } &\text {Shadow} &\text { Constraint } &\text {Allowable} &\text { Allowable }\\\text { Cell } & \text { Name } & \text { Value } & \text { Price } & \text { R.H. Side } & \text { Increase } & \text { Decrease } \\\hline \$ \mathrm{D} \$ 8 & \text { Used } & 16& 3 & 16 & 4 &2.67 \\\$ \mathrm{D} \$ 9 & \text { Used } & 10 & 1 & 10 & 1 & 2 \\\$ \mathrm{D} \$ 10 & \text { Used } & 32& 0 & 40 & 1 E+30 & 8\end{array}

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