1. Given the following linear program:

Max 3x₁ + 4x₂

s.t. 2x₁ + 3x₂ < 24

3x₁ + x₂ < 21

x₁, x₂> 0

1. Identify the feasible region. (You must draw the feasible region.) (5 points)

1. Find all the extreme points - list the value of x₁ and x₂ at each extreme point. (6 points)

1. What is the optimal solution? (4 points)