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

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

Q. What is the objective function in this problem?

Answer 1

ANSWER::

We need to minimize the cost of completing the survey. So,

Let the cost is minimized at x number of daytime calls and y number of evening calls. Then, our objective function will be:

Minimize C = 2x + 4y

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