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.