MATHEMATICS

Question 1

 

 

In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities.

 

Answer

True

False

 

 

Question 2

 

 

The standard form for the computer solution of a linear programming problem requires all variables to be to the right and all numerical values to be to the left of the inequality or equality sign

 

Answer

True

False

 

 

Question 3

 

 

In a media selection problem, instead of having an objective of maximizing profit or minimizing cost, generally the objective is to maximize the audience exposure.

 

Answer

True

False

 

 

Question 4

 

 

Product mix problems cannot have “greater than or equal to” (≥) constraints.

 

Answer

True

False

 

 

Question 5

 

 

When using a linear programming model to solve the “diet” problem, the objective is generally to maximize profit.

 

Answer

True

False

 

 

 

Question 6

 

 

Fractional relationships between variables are permitted in the standard form of a linear program.

 

Answer

True

False

 

 

Question 7

 

 

If Xij = the production of product i in period j, write an expression to indicate that the limit on production of the company’s 3 products in period 2 is equal to 400.

Answer

 

X21 + X22 + X23 ≥ 400

 

X21 + X22 + X23 ≤ 400

 

X12 + X22 + X32 ≥ 400

 

X12 + X22 + X32 ≤ 400

 

 

 

Question 8

 

 

A systematic approach to model formulation is to first

Answer

 

construct the objective function

 

develop each constraint separately

 

define decision variables

 

all of the above

 

 

 

 

 

Question 9

 

 

The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents per pound, respectively.  Five essential ingredients are contained in the feed, shown in the table below.  The table also shows the minimum daily requirements of each ingredient.

 

Ingredient

 

Percent per pound in Feed A

 

Percent per pound in Feed B

 

Minimum daily requirement (pounds)

 

1

 

20

 

24

 

30

 

2

 

30

 

10

 

50

 

3

 

0

 

30

 

20

 

4

 

24

 

15

 

60

 

5

 

10

 

20

 

40

 

 

 

The constraint for ingredient 3 is:

Answer

 

.5A + .75B = 20

 

.3B = 20

 

.3 B≤ 20

 

.3B ≥ 20

 

 

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