8. LP geometry and the simplex method (a) Consider the following linear program: min 2m1 + 4392 s.t. $1 + 332 S 4 $1 + 332 S 2 $1 {1:2 S 2 $120, $220- Draw the feasible region of this linear program. (b) To solve this problem using the simplex method, rst transform it into a standard form LP. Denote a: = [331,592, m3, 334, $5]T as the vector of variables, and use the standard form notation: min ch s.t. Am=b, :1: > 0, specify 6, A, b for the above