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

To maximize the objective function, it's important to graph the inequalities given by the set of constraints and then find the points where the boundary lines intersect to form a polygon.

Objective functions.

From the information given, the steps for maximizing the objective function P = 3x + 4y is requested.

Apart from the steps given above, it is also important to substitute the coordinates of the point into the objective function.

In conclusion, one should find the function that results in the largest value. These are the steps required.

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