MATH 106 Finite Mathematics
MATH 106 FINAL EXAMINATION
1.  Sheila purchases a car for \$24,000, makes a down payment of 25%, and finances the rest with
a 60-month car loan at an annual interest rate of 5.4% compounded monthly. What is the amount
of her monthly loan payment?
A.  \$457.32                     C.  \$508.00
B.  \$381.00                     D.  \$342.99

2. Find result of performing row operation 0.5

3.  Customers shopping at a particular supermarket spend a mean time shopping of 47 minutes,
with a standard deviation of 11 minutes.  Assuming a normal distribution, what is the probability
that a randomly chosen customer will spend between 36 and 58 minutes shopping in the
supermarket?
A. 0.3413                    C.  0.6826
B. 0.9544                    D.  0.7580

4.  Find the values of x and y that maximize the objective function  P = 9x + 5y  for the feasible
region shown below.
A.  (x, y) = (10, 0)
B.  (x, y) = (8, 10)
C.  (x, y) = (5, 15)
D. (x, y) = (0, 20)

5.  Two balls are drawn in succession out of a box containing 2 red and 5 white balls.  The balls
are drawn without replacement.  What is the probability that both balls drawn are red?

6.  Which of the following statements is NOT true?   6. ______
A. If all of the data values in a data set are identical, then the standard deviation is 0.
B. The variance can be a negative number.
C. The standard deviation is the square root of the variance.
D. The variance is a measure of the dispersion or spread of a distribution about its mean.

7.  If K = {3, 7, 11, 15} and M = {7, 12, 15, 18}, list

8.  Determine which shaded region corresponds to the solution region of the system of linear
inequalities:
9 – 10.  At Burger Heaven a “double” contains 2 meat patties and 6 pickles, whereas a “triple”
contains (wait for it!) 3 meat patties and 3 pickles.  Near closing time one day, only 24 meat
patties and 48 pickles are available.  If a “double” sells for \$1.50 and a “triple” sells for \$2.00,
then how many of each should be made in order to maximize profit?    Let x represent number of
“double” burgers and y represent number of “triple” burgers.

9.  Identify the production constraint for meat patties:
A.  6

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