How can I linearize $\min(x_1,x_2,x_3)$ in a maximization linear programming problem? Please help me. I've tried many things but I didn't solve.. My LP equations are as follows:
Objective function is: maximize $z=\min(x_1,x_2,x_3)$
Constraints:
$0.6 x_1 + 0.8 x_2 \leq 4500 \times 20$
$0.2 x_2 \leq 4500 \times 3$
$0.3 x_2 \leq 4500 \times 6$
$0.4 x_1 + 0.6 x_2 \leq 4500 \times 10$
$0.3 x_1 \leq 4500 \times 5$