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The vertices of the feasible region represented by a system are (0, 100), (0, 80), (80, 60), (80, 0), and (120, 0). what are the minimum and maximum values of the objective function f = 8x 5y? minimum: maximum:

Answer :

MRROYALGO

The minimum and maximum values of the objective function f = 8x + 5y are 400 and 960

How to determine the minimum and the maximum values?

The vertices of the feasible region are given as:

(0, 100), (0, 80), (80, 60), (80, 0), and (120, 0)

The objective function is given as:

z = 8x + 5y

Substitute the values of the feasible region in the equation of the objective function

z = 8 * 0 + 5 * 100 = 500

z = 8 * 0 + 5 * 80 = 400

z = 8 * 80 + 5 * 60 = 940

z = 8 * 80 + 5 * 0 = 640

z = 8 * 120 + 5 * 0 = 960

In the above computation, the minimum value is 400 and the maximum value is 960

Hence, the minimum and maximum values of the objective function f = 8x + 5y are 400 and 960

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