Question 31) In a goal programming problem with two goals at the s

31) In a goal programming problem with two goals at the same priority level, all the deviational variables are equal to zero in the optimal solution. This means

A) there is no feasible solution to the problem.

B) all goals are fully achieved.

C) nonlinear programming must be used to solve this.

D) this problem was an integer programming problem.

E) None of the above

32) A goal programming problem had two goals (with no priorities assigned). Goal number 1 was to achieve a profit of $2,400 and goal number 2 was to have no idle time for workers in the factory. The optimal solution to this problem resulted in a profit of $2,300 and no idle time. What was the value for the objective function for this goal programming problem?

A) 2300

B) 100

C) -100

D) 0

E) None of the above

33) A goal programming problem had two goals (with no priorities assigned). Goal number 1 was to achieve a profit of $3,600 and goal number 2 was to have no wasted material. The optimal solution to this problem resulted in a profit of $3,300 and no wasted material. What was the value for the objective function for this goal programming problem?

A) 300

B) -300

C) 3300

D) 0

E) None of the above

34) In an integer programming problem, if it is desired to have variable X be exactly twice the value of variable Y, the constraint would be written

A) 2X + Y = 0.

B) X + 2Y = 0.

C) 2X – Y = 0.

D) X – 2Y = 0.

E) None of the above

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