A marketing research professor is conducting a telephone survey and needs to con

Question

A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single female. Because of a limited staff, at most half of all phone calls can be evening calls. Determine how to minimize the cost of completing the survey.

Morning

Afternoon

Evening

25%

25%

20%

15%

30%

35%

10%

25%

15%

15%

15%

20%

35%

5%

10%

What are the decision variables in this problem?

The number of males and females to call.

The number of husbands, wifes, single females and single males to call.

The number of calls to make.

The number of morning, afternoon and evening calls to make.

Percentages

Morning

Afternoon

Evening

Wife

25%

25%

20%

Husband

15%

30%

35%

Single male

10%

25%

15%

Single female

15%

15%

20%

None

35%

5%

10%

Explanation / Answer

Here

decision variables are

The number of morning, afternoon and evening calls to make.

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