Draw the feasible region for the following LP problem:
Min.5X_1+20 X_2
Subject to:
X_1+X_2≥12
2X_1+〖5X〗_2≥40
X_1+X_2≤15
X_1≥0
X_2≥0
Part A. Find the optimal solution by enumerating corner points of the feasible region. (Double-check your solution by using the Level Curves approach)
Part B. What will be the optimal solution if the objective function is Max.5X_1+20 X_2 instead of Min.5X_1+20 X_2