Noah is deciding upon which courses to take by defining binary decision variables X1, X2, X3, X4, X5, ... for them and putting in an optimization model.

(Note that:

• I want your models to be linear.
• Also, the question is going to be graded automatically. Therefore, I give you options for the blanks and your solution must be chosen from the options. Make sure that you type the exact choices (not the choice number) per blank. No spaces, quotation marks, or anything extra. For instance, if it is choice 1) +, you enter "+" (without the quotation marks obviously).
• Consider each part independently. Also, each part is graded separately.
• You must fill all the blanks for the formula to be fully correct.

Questions are graded automatically. If you do not follow the formatting, then your answer will be graded wrong. If your answer is correct, I will be able to manually change your grade for those questions later, but you will lose 25% of the points. NO EXCEPTIONS, in order to be fair to everyone in the class.)

A. Taking at least two of X1 (statistics) or X2 (econometrics) or X4 (microeconomics) is a pre-requisite of X3 (Operations Management 9500). In other words, Noah must take at least two of X1 or X2 or X4 in order to be able to take X3.

X1 X2 X4 X3

Choices for the first blank: a) + b) - c) * d) / Choices for the second blank: a) + b) - c) * d) / Choices for the third blank: a) >= b) <= c) = d) < e) > Choices for the fourth blank: a) 1 b) 2 c) 0.5 d) 0 Choices for the fifth blank: a) + b) - c) * d) /

B. Noah cannot take all three of X3 (Operations Management), X4 (Microeconomics) and X5 (Macroeconomics) together.

X3 X4 X5

Choices for the first blank: 1) + 2) - 3) * 4) / Choices for the second blank: 1) + 2) - 3) * 4) / Choices for the third blank: 1) >= 2) <= 3) = 4) < 5) > 6) Choices for the fourth blank: 1) 0 2) -1 3) 1 4) 2

C. If Noah takes X6 (Microfinance), he is not allowed to take X4 (Microeconomics).

X6 X4

Choices for the first blank: 1) + 2) - 3) * 4) / Choices for the second blank: 1) >= 2) <= 3) = 4) < 5) > Choices for the third blank: 1) 0 2) -1 3) 1 4) 2