Consider the Following Linear Programming Problem Use Solver to Find the Optimal Values of X₁ and }

question 46

Essay

Consider the following linear programming problem.
$$\begin{array} { l l } \text { Minimize } & 3 \mathrm { X } _ { 1 } + 2 \mathrm { X } _ { 2 } \\\text { Subject to: } & \mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \geq 10 \\& \mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \leq 20 \\& \mathrm { X } _ { 2 } \leq 10 \\& \mathrm { X } _ { 1 } \leq 18 \\& \mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0\end{array}$$
Use Solver to find the optimal values of X₁ and X₂.

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Definitions:

Inequality

A mathematical or social science statement indicating that two values or conditions are not equal in terms of size, magnitude, or importance.

Constraint Function

A mathematical expression that employs variables and constants to define limitations or conditions on the optimization of an objective.

Right-Hand Side

The section or part of an equation that appears to the right of the equals sign (=).

C-type Steel Sheets

Steel sheets shaped like a 'C' in cross-section, commonly used in construction and manufacturing for structural support.