Multiple choice. Please answer all numbers

Question 10 3 Points If there are equality constraints or greater-than-or-equal-to constraints, it is necessary to add a(n) Blank 1 variable to each such constraint to find initial solution for the simplex method. Blank 1 Add your answer Question 11 3 Points If an artificial variable is positive in the optimal simplex tableau, the original problem is Blank 1 Blank 1 Add your answer . Question 7 3 Points If the value of a variable in the solution is zero, we say that we have a Blank 1 solution Blank 1 Add your answer Question 8 3 Points The major difference between slack and artificial variable is that: A slack variable can never be equal to zero An artificial variable should never be present in the product-mix column of an optimal solution A slack variable should never be present in the product-mix column of an optimal solution An artificial variable can never be equal to zero