1) The null hypothesis in the F-test is that there is a linear relationship between the X
and Y variables.
2) The economic order quantity helps one estimate the optimal number of units to
purchase with each order.
3) Samples sizes of five are often used when building control charts.
4) In a weighted moving average, the weights assigned must sum to 1.
5) A transformation changes the identities of the state variables.
6) Given two statistically dependent events (A,B), the conditional probability of P(A|B)
= P(B)/P(AB).
7) Models can help us analyze a problem and sell a decision to those who must
implement it.
8) Collectively exhaustive means that a system can be in only one state at any point in
time.
9) Theft is one of the “ordering cost factors.”
10) Pipeline fluid flows are indicated below. Determine the maximum flow from Node
1 to Node 4.
A) 100
B) 150
C) 200
D) 50
E) None of the above
11) The following is a payoff table.
What decision should be made based on the minimax regret criterion?
A) Alternative 1
B) Alternative 2
C) Alternative 3
D) State of Nature C
E) Does not matter
12) There are six cities (City 1-City 6) serviced by a particular bus line. Limited routes
are available, and the distance for each of these routes is presented in the table below.
For the bus line problem above, what is the minimum possible distance to travel from
City 1 to City 6?
A) 26
B) 20
C) 18
D) 22
E) None of the above
13) A local computer store is running a sale on the first 99 flat panel monitors sold.
There is an equally likely chance of 0-99 units being sold. Each monitor cost $250, and
profit is $10 per monitor sold. That is, profit equals -$250 + $10X, where X = the
number of monitors sold. The mean amount you would expect to sell is 49.5 units.
(a) Calculate the expected profit.
(b) Simulate the sale of 10 items, using the following double digit random numbers: 47,
77, 98, 11, 02, 18, 31, 20, 32, 90.
(c) Calculate the average profit in (b) above, and compare with the results of (a) above.
14) Transpose =
A)
B)
C)
D)
E) None of the above
15) The solution to the dual LP problem
A) can always be derived by examining the Zj row of the primal’s optimal simplex
tableau.
B) is better than the solution to the primal.
C) presents the marginal profits of each additional unit of a resource.
D) All of the above
E) None of the above
16) When using the shortest-route technique, the first step is to
A) connect the nearest node that minimizes the total distance to the origin.
B) trace the path from the warehouse to the plant.
C) determine the average distance traveled from source to end.
D) find the nearest node to the origin and put a distance box by the node.
E) None of the above
17) The equally likely criterion is also called the ________ criterion.
A) Hurwicz
B) uncertainty
C) Laplace
D) LaFlore
E) Huchenmeizer
18) Nonbasic variables in the simplex method of linear programming are
A) variables in the solution mix.
B) variables not in the solution mix.
C) the real variables in the initial solution.
D) the slack variables in the optimum solution.
E) always the slack, surplus, and artificial variables.
19) The value of the determinant is
A) 21.
B) 50.
C) 0.
D) 48.
E) None of the above
20) Table M1-4
Given the normalized Table M1-4, the priorities of the colleges are:
A)
B)
C)
D)
E) None of the above
21) Given a df1 = 3 and df2 = 6, what is the probability that F is greater than 4.3?
A) 0.0610
B) 0.1294
C) 0.05
D) 0.5
E) Not enough information provided
22) The initial state of a queuing system (for example, when a restaurant first opens), is
referred to as the ________ state.
A) steady
B) primary
C) introductory
D) transient
E) start-up
23) In a two-person, zero sum game,
A) the sum of losses equals zero.
B) the sum of gains equals zero.
C) the sum of losses for one player must equal the sum of gains for the other player.
D) None of the above
24) Where P is the matrix of transition probabilities, (4) =
A) (3) P P P.
B) (3) P P.
C) (2) P P P.
D) (1) P P P.
E) None of the above
25) What is the probability of selecting any random number from a two digit table?
A) 0.001
B) 0.01
C) 0.10
D) 0.02
E) Not enough information provided
26) A technique that allows a researcher to determine the greatest amount of material
that can move through a network is called
A) maximal-flow.
B) maximal-spanning.
C) shortest-route.
D) maximal-tree.
27) There are four items (A, B, C, and D) that are to be shipped by air. The weights of
these are 3, 4, 5, and 3 tons, respectively. The profits (in thousands of dollars) generated
by these are 5 for A, 6 for B, 7 for C, and 6 for D. There are 2 units of A, 1 unit of B, 3
units of C, and 2 units of D available to be shipped. The maximum weight is 16 tons.
Use dynamic programming to determine the maximum possible profits that may be
generated.
28) A local children’s boutique specializes in formal wear for young girls. It has recently
hired a new seamstress. To assure the dresses have standard sizes, twenty samples of
each 12 dresses that were labeled 3T were sampled. The average length from shoulder
to hemline measured 21 inches with a range of 0.5 inches. A sample has just been taken
with the following lengths: 21.25, 22.0, 21.5, 20.75, 21.25, 21.35, 21.35, 21.35, 21.35,
21.35, 21.35, and 21.35. Is the new seamstress performing at an acceptable quality
level?
29) Table 10-7
30) Green Grass, Inc. just ran out of stock and suddenly has two emergency orders for
grass seed blends: one is for 1500 pounds of normal, the other for 2300 pounds of
special. At least each pound of normal should contain 60 percent annual seed, while
each pound of special should contain at least 70 percent perennial seed. Green Grass
has two input mixtures, A and B. Mixture A contains 80 percent perennial and 15
percent annual seed. Mixture B contains 70 percent annual and 25 percent perennial
seed. Mixture A costs 90 cents per pound and mixture B costs 50 cents per pound. Set
up the constraints and the objective function to solve this blending problem.
31) A local “home TV repair service” company has two repairmen who make all of the
home repairs. The company sends Repairman D on 70 percent of all jobs, because the
likelihood of a ‘second follow-up call” within a week is only 0.08 compared to 0.20 for
Repairman K. If you had a recent repair job that is going to require a second follow-up
call, what is the probability that Repairman K did your initial repair work?
32) Given the following initial pairwise comparison matrix, determine the consistency
ratio.
33) Average starting salaries for students using a placement service at a university have
been steadily increasing. A study of the last four graduating classes indicates the
following average salaries: $30,000, $32,000, $34,500, and $36,000 (last graduating
class). Predict the starting salary for the next graduating class using a simple
exponential smoothing model with α= 0.25. Assume that the initial forecast was
$30,000 (so that the forecast and the actual were the same).
34) Define quadratic programming.
35) When is a dummy destination added to a transportation problem?