Three advertising media are being considered for promotion of a product. Radio ads cost $200 each, TV ads cost $500 each, while newspaper ads cost $300 each. The total budget is $10,000 per week. The total number of radio and newspaper ads should be at least 15, with at least 2 of each type. Each newspaper ad reaches 4,000 people, each TV ad reaches 6,000 people, while each radio ad reaches 2,000 people. The company wishes to reach as many people as possible while meeting all the constraints stated. Formulate and solve the LP model.