Problem 13-1 GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special aeration treatment as a low-cost extra service option, which it hopes will help attract new customers. Management is planning to promote this new service in two media: radio and direct mail advertising. A media budget of $6,000 is available for this promotional campaign. Based on past experience in promoting its other services, GreenLawns has obtained the following estimate of the relationship between sales and the amount spent on promotion in these two media: S = -2R? - 12M - SRM + 16R+34M Where S total sales in thousands of dollars R = thousands of dollars spent on radio advertising M thousands of dollars spent on direct-mail advertising GreenLawns would like to develop a promotional stray that will lead to maximum sales subject to the restriction provided by the media budget. dio advertising and $1,000 is spent on direct mail advertising? (a) What is the value of sales if $5,000 is spent on $ X ved to maximize sales subject to the media budget of spending no more than $6,000 on total advertising (b) Formulate an optimization problem that can be Max RM * (c) Determine the optimal amount to spend on radicand direct-mail advertising. How much in sales will be generated? Amount spent on radio advertising = $ Amount spent on direct-mail advertising - $ Total Sales Hide Feedback Partially Correct Check My Wor Problem 13-1 GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special aeration treatment as a low-cost extra service option, which it hopes will help attract new customers. Management is planning to promote this new service in two media: radio and direct mail advertising. A media budget of $6,000 is available for this promotional campaign. Based on past experience in promoting its other services, GreenLawns has obtained the following estimate of the relationship between sales and the amount spent on promotion in these two media: S = -2R? - 12M - SRM + 16R+34M Where S total sales in thousands of dollars R = thousands of dollars spent on radio advertising M thousands of dollars spent on direct-mail advertising GreenLawns would like to develop a promotional stray that will lead to maximum sales subject to the restriction provided by the media budget. dio advertising and $1,000 is spent on direct mail advertising? (a) What is the value of sales if $5,000 is spent on $ X ved to maximize sales subject to the media budget of spending no more than $6,000 on total advertising (b) Formulate an optimization problem that can be Max RM * (c) Determine the optimal amount to spend on radicand direct-mail advertising. How much in sales will be generated? Amount spent on radio advertising = $ Amount spent on direct-mail advertising - $ Total Sales Hide Feedback Partially Correct Check My Wor
