Two advertising media are being considered for promotion of a product. Radio ads cost $400 each, while newspaper ads cost $600 each. The total budget is $9,200 per week. The total number of ads should be at least 12, with at least 2 of each type, and there should be no more than 20 ads in total. The company wants the number of radio ads to be at least 25 percent of the total number of ads. Each newspaper ad reaches 6,000 people, while each radio ad reaches 4,000 people. The company wishes to reach as many respondents as possible while meeting all the constraints stated.
Formulate and solve the problem graphically by developing the appropriate LP model and determining the number of ads of each type that should be placed.