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Find the Complete Optimal Solution to This Linear Programming Problem

Question 54

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Find the complete optimal solution to this linear programming problem.
 Max 5x+3y s.t. 2x+3y302x+5y406x5y0x,y0\begin{array} { l l } \text { Max } & 5 x + 3 y \\\\\text { s.t. } & 2 x + 3 y \leq 30 \\& 2 x + 5 y \leq 40 \\& 6 x - 5 y \leq 0 \\& x , y \geq 0\end{array}

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