Question #1 A firm makes products X and Y and has total production capacity of 9 tons per day. The firm has permanent contract to supply at least 3 tons of X and at least 2 tons of Y to another company. Each ton of X requires 20 machine-hours of production time and each ton of Y requires 40 machine-hours of production time. Available possible machine- hours per day are 360. All the firms output can be sold and profit made is $120 per ton of X and $80 per ton of Y.

1) What is the objective function (profit) to be maximized in this linear programming problem?

A. Z = 80 X + 120 Y B. Z = 20 X + 80 Y C. Z = 120 X + 80 Y D. Z = 2 X+ 3 Y

2) What is the constraint of product Y in this linear programming?

A. Y 2 B. Y 50 C. Y 3 D. X+ Y 5

3) What is the constraint of product X in this linear programming?

A. X 2 B. X = 2 C. X 3 D. X 9

4) What is the constraint of total production in this linear programming?

A. X 9 B. Y 9 C. X + Y = 9 D. X + Y 9

5) What is the constraint machine hour in this linear programming?

A. 20X+ 40Y 360 B. X + Y = 360 C. 20X+ 40Y 360 D. 2X+ 3Y 9

6) What is the solution to this linear programming problem in terms of the respective quantities of X and Y to be produced if profits are to be maximize?

A. X = 3, Y = 2 B. X = 3, Y = 6 C. X = 0, Y = 9 D. X = 7, Y = 2

7) Before formulating a formal LP model, it is better to .

A. Express each constraint in words B. Express each the objective function in words C. Identify decision variables D. All of the above

8) Which of the following is not a characteristic of the LP model?

A. Alternative courses of action B. An objective function of maximization type C. Limited amount of resources D. Non negative condition on the value of decision variables