Shorty’s Sporting Goods will be sponsoring a Fishing contest in July of next year and is currently developing a morning radio advertising plan. Three of the largest local radio stations have been flagged as good choices for the campaign. Their cost per ad on each station is shown in the following table. Each ad is 1 minute.
Station Cost per ad
Rock 102.7 $200
Country 100 $150
All Sports 101.9 $100
The company has allocated $10000 for morning radio advertisements. To ensure a broad reach, at least five minutes of advertisement should be purchased on each of these three stations and no more than 15 minutes should be bought on any one station. The company has decided that at least as many minutes of advertisements should be purchased on the country station as on the other two stations combined.
Write the LP formulation to determine the number of ads on each station that will maximize the total number of ads purchased, subject to the stated restrictions.