Set Up and Solve the Following Nonlinear Programming Problem Using

Essay

Set up and solve the following nonlinear programming problem using Excel:
$$\begin{array} { l } \operatorname { Max } : \left( \mathrm { X } _ { 1 } - 5 \right) ^ { 2 } + \left( \mathrm { X } _ { 2 } - 7 \right) ^ { 2 } \\\text { Subject to } \\\mathrm { X } _ { 1 } \leq 15 \\\mathrm { X } _ { 2 } \leq 15 \\\mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \geq 10 \\\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0\end{array}$$