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Given the Following Linear Programming Problem What Is the Optimal Value of This Objective Function

Question 54

Short Answer

Given the following linear programming problem:
maximize4x1+3x2 subject to 4x1+3x2235x1x25x1,x20\begin{array} { l l } \operatorname { maximize } & 4 x _ { 1 } + 3 x _ { 2 } \\\text { subject to } & 4 x _ { 1 } + 3 x _ { 2 } \leq 23 \\& 5 x _ { 1 } - x _ { 2 } \leq 5 \\& x _ { 1 } , x _ { 2 } \geq 0\end{array}
What is the optimal value of this objective function?

Correct Answer:

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