An ad campaign for a new snack chip will be conducted in a limited geographical
ID: 2979805 • Letter: A
Question
An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below. Medium Cost Per Ad # Reached Exposure Quality TV 500 10000 30 Radio 200 3000 40 Newspaper 400 5000 25 The number of TV ads cannot exceed the number of radio ads by more than 10% (for example, if there are 100 radio ads, then there cannot be more 110 TV ads). The number of radio ads cannot exceed the number of newspaper ads by more than 13. If in addition the advertising budget is $10000, develop the model that will maximize the number reached and achieve an exposure quality of at least 1000 (assume that fractional numbers of ads are ok): a. a. provide the objective function and set of constraints. define the decision variables b. b. find the optimal solution using Management Scientist, Lindo, Excel Solver, or online interactive LP software. c. c. list the values of the objective function and the decision variables in the optimal solution youExplanation / Answer
(1) there are three components, each of which can either be manufactured or purchased from one of two sources
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