In: Statistics and Probability
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.