1) A suburban specialty restaurant has developed a single drive-thru window.
Customers order, pay, and pick up their food at the same window. Arrivals follow a
Poisson distribution while service times follow an exponential distribution. If the
average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what
is the average number of customers waiting in line behind the person being served?
A) 0.50
B) 0.75
C) 2.25
D) 3.00
E) None of the above
2) Demand for soccer balls at a new sporting goods store is forecasted using the
following regression equation:
Y = 98 + 2.2X where X is the number of months that the store has been in existence.
Let April be represented by
X = 4. April is assumed to have a seasonality index of 1.15. What is the forecast for
soccer ball demand for the month of April (rounded to the nearest integer)?
A) 123
B) 107
C) 100
D) 115
E) None of the above
3) A single automatic car wash with one bay and a cycle time of 2.5 minutes is what
type of model?
A) M/M/1
B) M/M/2
C) M/D/2
D) M/D/1
E) M/G/1
4) When formulating transportation LP problems, constraints usually deal with the
A) number of items to be transported.
B) shipping cost associated with transporting goods.
C) distance goods are to be transported.
D) number of origins and destinations.
E) capacities of origins and requirements of destinations.
5) The following is a payoff table giving profits for various situations.
What decision would an optimist make?
A) Alternative 1
B) Alternative 2
C) Alternative 3
D) Do Nothing
E) State of Nature A
6) The following is an opportunity loss 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 A
E) Does not matter
7) When using the normal distribution to approximate demand, which of the following
is not true?
A) We assume demand is normally distributed.
B) We assume demand is a random variable.
C) We assume 50 percent of the time demand is less than the mean.
D) We assume the fixed cost follows a normal distribution.
E) All of the above are true.
8) A company is considering producing some new Gameboy electronic games. Based
on past records, management believes that there is a 70 percent chance that each of
these will be successful, and a 30 percent chance of failure. Market research may be
used to revise these probabilities. In the past, the successful products were predicted to
be successful based on market research 90 percent of the time. However, for products
that failed, the market research predicted these would be successes 20 percent of the
time. If market research is performed for a new product, what is the probability that the
product will be successful if the market research indicates a success?
A) 0.10
B) 0.90
C) 0.91
D) 0.63
E) 0.09
9) Objectives of the assignment problem can include
A) minimize total costs.
B) minimize total time to perform the tasks at hand.
C) minimize opportunity costs.
D) maximize profit.
E) All of the above
10) Table 12-4
According to the information provided in Table 12-4, which presents a queuing problem
solution for a queuing problem with a constant service rate, on average, how many
customers are in the system?
A) 1.875
B) 1.125
C) 0.625
D) 0.375
E) None of the above
11) Table 8-1
A small furniture manufacturer produces tables and chairs. Each product must go
through three stages of the manufacturing process: assembly, finishing, and inspection.
Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection.
Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection.
The profit per table is $120 while the profit per chair is $80. Currently, each week there
are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of
inspection time. Linear programming is to be used to develop a production schedule.
Define the variables as follows:
T = number of tables produced each week
C = number of chairs produced each week
According to Table 8-1, which describes a production problem, suppose it is decided
that the number of hours used in the assembly process must be at least 80 percent of the
time available. How would this constraint be written?
A) 3T + 2C >=160
B) 3T + 2C >=200
C) 3T + 2C =< 200
D) 3T + 2C =< 160
E) None of the above
12) At a local fast-food joint, cars arrive randomly at a rate of 12 every 30 minutes. The
fast food joint takes an average of 2 minutes to serve each arrival. The utilization factor
for this system is
A) 0.467.
B) 0.547.
C) 0.800.
D) 0.133.
E) None of the above
13) The overall best solution in a nonlinear program is a
A) global optimum.
B) local optimum.
C) binary optimum.
D) nonlinear optimum.
E) goal optimum.