Management Sciences Associates (MSA) is marketing and computer research firm based in Washington, DC, that handles consumer surveys. One of the chents 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 fulfil several requirements in order to draw statistically valid conchisions on the sensitive issue of new US immigration laws aimed at countering terrorism 1. Survey at least 2,300 people in total in the United States. 2 Survey at least 1,000 people who are 30 years of age or younger. 3. Survey at least 600 people who 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 at least 50% of those surveyed who are 30 years of age or younger live in a state that does not border Mexico. 6. Ensure that no more than 20% of those surveyed who are 51 years of age or over live in a state that borders Mexico. MSA decides that all surveys should be conducted in person. It estimates that the costs of reaching people in each age and region category are as the following table. MSA's goal is to meet the six sampling requirements at least possible cost. Region State bordering Mexico State not bordering Mexico Cost per Person Surveyed Age 30 $7.50 $6.90 Age 31-50 $6.80 $7.25 Age 251 $5.50 $6.10