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	600	10000	30
Radio	300	3000	40
Newspaper	500	5000	25

If the number of TV ads cannot exceed the number of radio ads by more than 10, and if the advertising budget is $15,000, develop the model that will maximize the number reached and achieve an exposure quality of at least 1200.

Let T = the number of TV ads

Let R = the number of radio ads

Let N = the number of newspaper ads

The budget constraint is given by