# MATHEMATICS

Question 1

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

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

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.

True

False

Question 4

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

True

False

Question 5

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

True

False

Question 6

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

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.

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

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:

.5A + .75B = 20

.3B = 20

.3 B≤ 20

.3B ≥ 20

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