Problem:
Use the simplex method for solving nonstandard problems to solve the given linear programming problem.
Minimize C = -2x + y
Subject to x + 2y ≤ 6
3x + 2y ≤ 12
x ≥ 0, y ≥ 0
a. x = 0, y = 3, C = 3
b. x = 4, y = 0, C = -8
c. x = 0, y = 0, C = 0
d. x = 3, y = 2/3, C = -8
Additional Information:
This problem is basically from Mathematics as well as it is about solving linear programming with simplex method.