Question II. Market Survey, Inc. (MSI) specializes in evaluating consumer reaction to new products, services, and advertising campaigns. A client firm requested MSI's assistance in ascertaining consumer reaction to a recently marketed household product. During mectings with the client, MSI agreed to conduct door-to-door personal interviews to obtain responses from housecholds with children and households without children. In addition, MSl agreed to conduct both day and evening interviews. The client's contract called for MSI to conduct 1000 interviews under the following quota guidelines: 1. Interview at least 400 housecholds with children. 2. Interview at least 400 households without children. 3. The total number of households interviewed during the evening must be at least as great as the number of houscholds interviewed during the day. 4. At least 40% of the interviews for households with children must be conducted during the evening. 5. At least 60% of the interviews for households without children must be conducted during the evening. Because the interviews for households with children take additional interviewer time and because evening interviewers are paid more than daytime interviewers, the cost varies with the type of interview. Based on previous research studies, estimates of the interview costs are as follows: Interview Cost Housechold Day Evening $25 Children $20 $20 No children $18 Please write a program to minimize the total cost.