Question

Identify the feasible region for the following set of constraints: 3x1 – 2x2 > 0, 2x1 – x2 < 200, x1 < 150, x1 > 0, x2 > 0?

Answer 1

To identify the feasible region for the set of given constraints, graph the inequalities on a coordinate plane and shade the region that satisfies all the constraints.

Step-by-step explanation:

The feasible region for the given set of constraints can be determined by graphing the inequalities on a coordinate plane and shading the region that satisfies all the constraints.

1. Start by graphing the line 3x1 - 2x2 = 0 by finding its x- and y-intercepts.
2. Next, graph the line 2x1 - x2 = 200 using the same method.
3. Then, shade the region that satisfies the inequality x1 < 150.
4. Finally, shade the region that satisfies the inequalities x1 > 0 and x2 > 0.

The feasible region is the region where all the shaded areas overlap.