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Jonathan Deloite, a senior Marketing and Hospitality student at State University, is developing a promotional plan for a local non-profit public service program. The alternatives for promotion activities are television, radio and social media. Audience estimates and costs are as follows:

	Television	Radio	Social media
Audience reach per ad	100,0000	18,000	40,000
Cost per ad	$2,000	$300	$600

Each type of ad is individually limited – only 10 TV ads, 20 Radio ads and 10 social media ads may be used.

In addition, to ensure a balance: radio ads must be no more than 10% of the total number of ads, and TV ads must be at least 10% of the total ads.

The total budget for all ads is $18,500.

Write the linear programming formulation to determine how many of each type of ad should be used in order to maximize the total audience reached.