In: Statistics and Probability
Q1. Graphical Solution Consider the following model and answer to the questions.
Max 16X + 12Y S.T. Constraint 1 5X + 4Y ≤ 60 Constraint 2 5X + 8Y ≤ 80 Constraint 3 X ≥ 2 Constraint 4 Y ≥ 4 Constraint 5 -6X + 2Y ≤ 0 X, Y ≥ 0
A) Plot all constraints and determine the feasible region. How many angles does your feasible region have?
B) What is the optimal point?
C) What is the optimal solution?
D) What will happen to your ‘feasible region’ & ‘Optimal Solution’ if there is an additional constraint?
10X + 5Y ≤ 2