LP to minimize the cost:

Assume the following,

Let “DC” be the percent of daytime calls.

Let “EC” be the percent of evening calls.

The objective function to minimize the cost of completing the survey is as follows,

Minimize z=2DC+5EC

The above function subject to the following constraints,

“0.30DC+0.30EC≥150” denotes the constraints on wives.

“0.10DC+0.30EC≥120” denotes the constraints on husbands.

“0

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Solution Summary: The author explains the objective function to minimize the cost of completing the survey is as follows: Minimize z=2DC+5EC.

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