We are deciding on which projects to undertake by defining binary decision variables X1, X2, X3, X4, X5, ... for them and putting them in an optimization model.

(Note that:

I want your models to be linear.

For instance, if it is choice 1) +, you enter "+" (without the quotation marks obviously).

A. If we undertake X3 then we cannot undertake X2. However, if we do not undertake X2 then we must undertake X3.

X2___ X3___ ____

Choices for the first blank: a) + b) - c) * d) / Choices for the second blank: a) >= b) <= c) = d) e) > f) < Choices for the third blank: a) -1 b) 0 c) 1 d) 2 e) 3

B. We cannot undertake X4 without undertaking at least one of X5 or X6.

X4 ___ X5 ___ X6 ____ _____

Choices for the first blank: a) + b) - c) <= d) = e) >= Choices for the second blank: a) + b) - c) <= d) = e) >= Choices for the third blank: a) + b) - c) <= d) = e) >= Choices for the fourth blank: a) -1 b) 0 c) 1 d) 2 e) 3

C. If we undertake both X1 and X2, then you cannot undertake X3.

X1 __ X2 ___ _____ ____ X3

Choices for the first blank: a) + b) - c) * d) / Choices for the second blank: a) >= b) <= c) = d) < e) > Choices for the third blank: a) -1 b) 0 c) 1 d) 2 e) 3 Choices for the third blank: a) + b) - c) * d) /

D. This is trivial and just for rounding up the grades for this question. Do not forget to answer it:

10 + 10 = _____