Question 5
Milo’s Survey Services (MSS) specializes in evaluating the reaction of customers to new products. A client has hired MSS to ascertain customer reaction to a recently launched product (Frying Pan). During meeting with the client, MSS agreed to conduct door-to-door personal interviews to obtain responses from households with children and without children. In addition, MSS agreed to conduct both “Daytime” and “Evening time” interviews. Specifically, the client’s contract called for MSS to conduct 1000 interviews under the following quota guidelines
i. Interview at least 400 households with children
ii. Interview at least 400 households without children
iii. The total number of households interviewed during evening must be at least as great as the number of households interviewed during the day
iv. At least 40% of the interviews for households with children must be conducted during the evening
v. At least 60% of the interviews for households without children must be conducted during evening
Because the interviews for households with children take additional interview time and because evening interviewers are paid more than daytime, the cost varies with type of interview. Based on previous surveys conducted, MSS estimates the interview costs as given in Table-1
MSS wanted to conduct the interviews so that the overall cost for conducting the survey is minimized. Given this information, answer the subquestions.
MSS has decided to conduct 400 interviews for Households with children and 600 interviews for households without children. Moreover, of the 400, 240 are to be conducted in the daytime. Similarly, of the 600 interviews, 360 are going to be conducted in the evening.
Then, how many (count of) decision variables will have a NON-ZERO VALUE in dual formulation which is obtained based on the standard form of the primal?