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Find the maximum and minimum value of the given objective function of a linear programming problem.

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Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points.

z = x + 10y

asked Feb 16, 2015 in PRECALCULUS by anonymous
reshown Feb 16, 2015 by goushi

1 Answer

0 votes

Step 1:

Find  the maximum and minimum values by using corner point theorem.

From the graph the corner points are image.

The function image.

Corner point

Function image

Value

image

image

image

image

image

image(Maximum)

image

image

image

image

image

image(Minimum)

image

image

 image

The maximum value is image at image.

The minimum value is image at image.

Solution:

The maximum value is image at image.

The minimum value is image at image.

answered Feb 19, 2015 by david Expert

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