Problem 4: MSA Associates Survey Management Sciences Associates (MSA) is a marketing and computer research firm based in Washington, D.C., that handles consumer surveys. One of its clients is a national press service that periodically conducts political polls on issues of widespread interest. In a survey for the press service, MSA determines that it must fulfill the following requirements in order to draw statistically valid conclusions on the sensitive issue of U.S. immigration laws: 1. Survey at least 2,300 U.S. Households in total 2. Survey at least 1,000 households whose heads are 30 years of age or younger 3. Survey at least 600 households whose heads are between 31 and 50 years of age 4. Ensure that at least 15% of those surveyed live in a state that borders Mexico 5. Ensure that no more than 20% of those surveyed who are 51 years of age or older live in a state that borders on Mexico MSA decides that all surveys should be conducted in person. It estimates that the cost of reaching people in each combined age and region category are as follows: Formulate this problem as an LP to help MSA meet its goal of satisfying the five sampling requirements at the least possible cost