Question

4. The Ad agency for Div Paint is considering two media possibilities. One plan calls for a series half page newspaper ads and the other is for TV ads. The stores are expanding their lines of do-it-yourself tools and the advertising director is interested in an exposure level of at least 40% within the cities neighborhoods and 60% in suburban areas. The TV viewing time under consideration has an exposure rating per spot of 5% in city homes and 3% in the northwest suburbs. The Sunday newspaper has corresponding exposure rates of 4% and 3% per ad. The cost of a half page ad in a newspaper is $925 and a TV spot costs $2000. Formulate an LP model to achieve the desired exposure rates with the least cost

Answer 1

Let x and y be the number of half page ads in the papers and number of TV ads respectively

We want to minimize cost 925x+2000y while we must have

Graphing these we get

So we must have x=20 newspaper ads and y=0 TV ads for the least cost of

18500 $

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