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In: Statistics and Probability

A marketing research professor is conducting a telephone survey and needs to contact at least 160...

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

Percentages

Daytime

Evening

Wife

25%

25%

Husband

15%

30%

Single male

10%

25%

Single female

15%

15%

None

35%

5%

Develop a Report for the following

3) Find the optimal solution. State the call plan and total cost.

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