Question

Maximizing an objective function 4x+3y≥90. Find the feasible region.

a) y≤30−34x
b) y≥30−34x
c) y≤30+34x
d) y≥30+34x

Answer 1

To find the feasible region for the inequality 4x + 3y ≥ 90, graph the inequality and determine which side of the line represents the feasible region. The answer is option a) y ≤ 30 - 34x.

Step-by-step explanation:

To find the feasible region, we need to plot the graph of the inequality 4x + 3y ≥ 90.

First, we'll graph the inequality 4x + 3y = 90. This is the boundary line of the region.

Then, we'll determine which side of the line represents the feasible region. As 4x + 3y ≥ 90, the feasible region is below or on the line. Therefore, the answer is option a) y ≤ 30 - 34x.