Question

Given constraints: x is greater than or equal to 0, y greater than or equal to 0, 2x + 2y is greater than or equal to 4, x + y is less than or equal to 8 Explain the steps for maximizing the objective function P = 3x + 4y.

Answer 1

Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon. Substitute the coordinates of each point into the objective function and find the one that results in the largest value.

Answer 2

Hello,

We can use a graph and find the vertex of the domain (ABCD).
The maximum is a vertex that maximize the variable y (greater coefficient (4)).

C (0,8) maximize P=3x+4y=3*0+4*8=32