Question

A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:

	Student type
Region	undergraduate	graduate
East	$10	$15
Central	$12	$18
West	$15	$21

The requirements for the survey are as follows:

            The survey must have at least 1500 students

            At least 400 graduate students

            At least 100 graduate students should be from the West

            No more than 500 undergraduate students should be from the East

            At least 75 graduate students should be from the Central region

            At least 300 students should be from the West

The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.

Clearly state the problem (objective function, constraints)

Answer 1