Lingo do linear programming

Reference: <an Introduction to Management science quantitative approaches to decision Making, revised 13th edition>

Market Application 1: Relax-and-enjoy provided Bp&j with a advertising budget of $30,000 for the first month ' s campaign. In addition, Relax-and-enjoy imposed the following restrictions on how bp&j may allocate these funds:at least tele Vision commercials must is used, at least 50,000 potential customers must is reached, and no more than $18,000 could be Spen T on television advertisements. What advertising media selection plan should is recommended?

A1: Build Model as below

Decision variables:

DTV = number of times daytime TV is used
ETV = number of times evening TV is used
DN = number of times daily newspaper is used
SN = number of times Sunday newspaper is used
R = number of times Radio is used

R1: report

Market Application 2: Market Survey, Inc. (MSI), specializes in evaluating consumer reaction to new products, services, and advertising Campaig Ns. A client firm requested MSI ' s assistance in ascertaining consumer reaction to a recently marketed household product. During meetings with the client, MSI agreed to conduct door-to-door personal interviews to obtain responses from household s with children and households without children. In addition, MSI agreed to conduct both day and evening interviews. Specifically, the client ' s contract called for MSI to conduct, interviews under the following quota guidelines.
1. Interview at least-households with children.
2. Interview at least households without children.
3. The total number of households interviewed during the evening must is at least as great as the number of households int Erviewed during the day.
4. At least 40% of the interviews for households and children must be conducted during the evening.
5. At least 60% of the interviews for households without children must is conducted during the evening.
Because The interviews for households with children take additional interviewer time and Because evening interviewers is Paid more than daytime interviewers, the cost varies with the type of interview. Based on previous studies, estimates of the interview costs is as follows:

What's the household, Time-of-day interview plan that would satisfy the contract Requirementsat a minimum total Interviewi ng cost?

A1: Build Model as below

DC = The number of daytime interviews of households with children
EC = The number of evening interviews of households with children
DNC = The number of daytime interviews of households without children
ENC = The number of evening interviews of households without children

Lingo do linear programming