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1. The first step in formulating a linear programming problem is

a. Identify any upper or lower bounds on the decision variables.

b. State the constraints as linear combinations of the decision variables.

c. Understand the problem.

d. Identify the decision variables.

e. State the objective function as a linear combination of the decision variables.

2. The third step in formulating a linear programming problem is

a Identify any upper or lower bounds on the decision variables.

b.State the constraints as linear combinations of the decision variables.

c. Understand the problem.

d.Identify the decision variables.

e.State the objective function as a linear combination of the decision variables.

3. The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits.

X_{1} = number of product 1 produced in each batch

X_{2} = number of product 2 produced in each batch

MAX: 150 X1 + 250 X2

Subject to: 2 X1 + 5 X2 ≤ 200

3 X1 + 7 X2 ≤175

X1, X2 ≥ 0

How much profit is earned per each unit of product 2 produced?

a. 150

b.175

c. 200

d.250

4. A diet is being developed which must contain at least 100 mg of vitamin C. Two fruits are used in this diet. Bananas contain 30 mg of vitamin C and Apples contain 20 mg of vitamin C. The diet must contain at least 100 mg of vitamin C. Which of the following constraints reflects the relationship between Bananas, Apples and vitamin C?

a. 20 A + 30 B ≥ 100

b.20 A + 30 B ≤100

c. 20 A + 30 B = 100

d.20 A = 100

5. The objective function for a LP model is 3 X_{1} + 2 X_{2}. If X_{1} = 20 and X_{2} = 30, what is the value of the objective function?

a. 0

b.50

c. 60

d.120

6. Why do we study the graphical method of solving LP problems?

a. Lines are easy to draw on paper.

b.To develop an understanding of the linear programming strategy.

c. It is faster than computerized methods.

d.It provides better solutions than computerized methods.

7. Level curves are used when solving LP models using the graphical method. To what part of the model do level curves relate?

a. constraints

b.boundaries

c. right hand sides

d.objective function

8. This graph shows the feasible region (defined by points ACDEF) and objective function level curve (BG) for a maximization problem. Which point corresponds to the optimal solution to the problem?

a. A

b. B

c. C

d. D

e. E

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