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Linear Programming Problems

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

Which of the following is a property of all linear programming problems?

a)

we can choose from alternate courses of action

b)

minimization of some objective

c)

a computer program

d)

usage of graphs in the solution

e)

usage of linear and nonlinear equations and inequalities

2.

usage of linear and nonlinear equations and inequalities

a)

maximum profit point.

b)

intersection of the profit line and a constraint.

c)

corner point.

d)

intersection of two or more constraints.

e)

None of the above

3.

The first step in formulating an LP problem is

a)

graph the problem.

b)

perform a sensitivity analysis.

c)

identify the objective and the constraints.

d)

understand the managerial problem being faced.

e)

define the decision variables.

4.

In labor planning formulation, how would you write the constraint that there are only 10 full-time tellers (labeled as T) available?

(a)  

5.

LP theory states that the optimal solution to any problem will lie at

a)

the origin.

b)

a corner point of the feasible region.

c)

the lowest point in the feasible region.

d)

none of the above

6.

Consider the following linear programming problem: Maximize Z = 12x + 10y

Subject to: 4x + 3y<=480

2x + 3y<=360

all variables >= 0

Which of the following points (x,y) could be a feasible corner point?

a)

(40,48)

b)

(120,0)

c)

(180,120)

d)

none of the above

7.

Adding a constraint to a linear programming problem increases the size of the feasible region.

a)

True

b)

False

8.

The following constraint is linear: A*B+2*A ≤ 20

a)

True

b)

False

9.

Redundancy causes major difficulties to an LP problem.

a)

True

b)

False

10.

All linear programs must seek to maximize some quantity.

a)

True

b)

False