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 i s less than or equal to 8 Explain the steps for maximizing the objective function P = 3x + 4y.
2 answers:
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.
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
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