Question

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

A. x + 2y < or equal to 10
B. y < or equal to 2
C. x > or equal to 0
D. y > or equal to 0

Answer 1

To find the maximum value of P = 4x + 2y with the given constraints, graph the system of inequalities and determine the vertices of the feasible region. Substitute these vertices into the objective function to find the maximum value. The correct option for the maximum value of P will be determined based on these calculations.

Step-by-step explanation:

To find the maximum value of P = 4x + 2y with the given constraints, we need to determine the feasible region formed by the intersection of the inequalities:

• x + 2y ≤ 10
• y ≤ 2
• x ≥ 0
• y ≥ 0

We can graph the system of inequalities and find the vertices of the feasible region. Then, we substitute these vertices into the objective function P = 4x + 2y to find the maximum value. The correct option for the maximum value of P will be determined based on these calculations.