1. 1. (1, 0, 4)

   2. (11, 0, 4)

   3. (9, 1, 4)

   4. None of above

   5. (0, 0, 0)

2. Question 8

   1 Point

   Consider a transportation problem in which there are 3 suppliers and 6 customers. What is the total number of decision variables?

• Question 9

  3 Points

  Consider the transportation problem with 4 suppliers and 3 customers. The unit transportation costs between suppliers and customers are given in the following table. Also, the table includes the total inventory levels of the suppliers and the order quantities of the customers.

  Calculate the total transportation cost for the optimal distribution plan that satisfies the supply and demand constraints. Do not include the dollar ($) symbol in your answer.

• Question 10

  2 Points

  Consider the binary variables x₁, x₂, x₃, x₄, and x₅ where x_i is defined as 1 if object i is selected and 0 otherwise. Which of the following inequality models the requirement:

  Neither x₂ nor x₃ is selected if x₅ is selected. Otherwise, at most one of x₂ and x₃ is selected.

  1. x2 + x3 <= 1

  2. x2+x3 <= 1 - x5

  3. x2 + x3 >= 1

  4. x2+x3 <= x5