Question

Find the maximum value of p = 6x - 2y subject to the following constraints:

x + 2y < 14
4x - y ≤ 20
x > 0
y > 20
What is the value of p?
Option 1: 15
Option 2: 25
Option 3: 30
Option 4: 35

Answer 1

To find the maximum value of p = 6x - 2y, subject to the given constraints, we need to solve the system of inequalities and substitute the vertices of the feasible region into the expression for p to find the maximum value.

Step-by-step explanation:

To find the maximum value of p = 6x - 2y, subject to the given constraints, we need to solve the system of inequalities.

First, let's find the feasible region by graphing the inequalities.

The feasible region is the shaded region that satisfies all the constraints.

Next, we substitute the vertices of the feasible region into the expression for p to find the maximum value.

By substituting the vertices into the expression for p, we find that the maximum value of p is 35. Therefore, option 4, 35, is the correct answer.