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	12000	35
Radio	300	4000	40
Newspaper	400	5000	30

If the number of TV ads cannot exceed the number of radio ads by more than 5, and if the advertising budget is $12,000, develop the model that will maximize the number reached and achieve an exposure quality of at least 1500.

Let T = the number of TV ads

Let R = the number of radio ads

Let N = the number of newspaper ads

The exposure quality constraint is given by

		35T + 40R + 30N 1500
		105T 1200
		12,000T + 4,000R + 5,000N 12,000
		30T + 40R + 25N 1200