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
1) State the decision variables and constraints in this problem.