12. Cmon-Son Estate and Industrial Developers Inc. are developing a large scale community and outlet center near their recently developed neighborhoods. The primary market includes all middle- and upper-income families within approximately 100 miles of the development. Cmon- Son employed the advertising firm of McDaniels, Neilson, and Mathews (MNM) to design the promotional campaign. After considering possible advertising media and the market to be covered, MNM recommended that the first month's advertising be restricted to six media. At the end of the month, MNM will then reevaluate its strategy based on the month's results. MNM collected data on the number of potential customers reached, the cost per advertisement, the maximum number of times each medium is available, and the exposure quality rating for each of the six media. The quality rating is measured in terms of an exposure quality unit, a measure of the relative value of one advertisement in each of the media. This measure, based on MNM's experience in the advertising business, takes into account factors such as audience demographics (age, income, and education of the audience reached), image presented, and quality of the advertisement. Cmon-Son provided MNM with an advertising budget of $55,000 for the first month's campaign. In addition, Cmon- Son provided the following restrictions on how MNM may allocate these funds: At least 11 television commercials must be used, at least 54,000 potential customers must be reached, and no more than $20,000 may be spent on television advertisements. Use the Table to Define your decision variables and your constraints. Write the full linear program. Media Cost (S) per Advertisement Exposure Quality Units # Potential Customers Reached 900 1200 3500 Maximum Times Available per Month 16 14 7 600 1000 1300 40 50 80 AM Radio FM Radio Five am to Noon TV slot Noon to 11 pm slot Sunday Morning Paper 3000 2500 10 100 400 80 4 55 12. Cmon-Son Estate and Industrial Developers Inc. are developing a large scale community and outlet center near their recently developed neighborhoods. The primary market includes all middle- and upper-income families within approximately 100 miles of the development. Cmon- Son employed the advertising firm of McDaniels, Neilson, and Mathews (MNM) to design the promotional campaign. After considering possible advertising media and the market to be covered, MNM recommended that the first month's advertising be restricted to six media. At the end of the month, MNM will then reevaluate its strategy based on the month's results. MNM collected data on the number of potential customers reached, the cost per advertisement, the maximum number of times each medium is available, and the exposure quality rating for each of the six media. The quality rating is measured in terms of an exposure quality unit, a measure of the relative value of one advertisement in each of the media. This measure, based on MNM's experience in the advertising business, takes into account factors such as audience demographics (age, income, and education of the audience reached), image presented, and quality of the advertisement. Cmon-Son provided MNM with an advertising budget of $55,000 for the first month's campaign. In addition, Cmon- Son provided the following restrictions on how MNM may allocate these funds: At least 11 television commercials must be used, at least 54,000 potential customers must be reached, and no more than $20,000 may be spent on television advertisements. Use the Table to Define your decision variables and your constraints. Write the full linear program. Media Cost (S) per Advertisement Exposure Quality Units # Potential Customers Reached 900 1200 3500 Maximum Times Available per Month 16 14 7 600 1000 1300 40 50 80 AM Radio FM Radio Five am to Noon TV slot Noon to 11 pm slot Sunday Morning Paper 3000 2500 10 100 400 80 4 55