Consider the following network, which shows the location of various facilities within a
youth camp and the distances (in tens of yards) between each facility.
Walking trails will be constructed to connect all the facilities. In order to preserve the
natural beauty of the camp (and to minimize the construction time and cost), the
directors want to determine which paths should be constructed. Use this network to
determine which paths should be built.
Given the following transportation tableauwhere the numbers in each cell represent
transportation costs from the specific source to the specific destinationwith supply
figures corresponding to each source and demand figures corresponding to each
destination:
According to the Northwest Corner method, the initial solution would give to cell B2 a
loading of ________.
Two psychology majors, in two different sections of Clinical Psychology, were
comparing test scores. The following gives the students’ scores, class mean, and
standard deviation for each section:
Section 1 Section 2
Student score 84 75
Mean 75 60
Standard deviation 7 8
The weight of a loaf of bread is normally distributed with a mean of 22 oz and a
standard deviation of 0.5 oz. What is the probability that a loaf is more than 22.25 oz?
A system has one service facility that can service 10 customers per hour. The customers
arrive at an average rate of 6 per hour. Utilization is ________.
Yowzah Bids
Yowzah receives bids from four companies we’ll call A, B, C, and D to supply product
for the coming year. Renee DeCartes, the Yowzah VP of Plotting takes the bids and
creates this graph to bring to the next executive meeting.
Describe a general approach for determining the variable cost of any of the companies
in this plot.
Recent past demand for product ZXT is given in the following table.
Base on a three-month weighted moving average with weights w1 = .1, w2 = .4, and w3
= .5 (most recent), determine the forecasted demand for August and September. What is
the forecast error in August?
Ponder the following linear programming problem:
Max Z = 5x1 + 6x2
Subject to: 3x1 + 4x2 ≤ 76
8x1 + 9x2 ≤ 123
3x1 + 3x2 ≤ 56
x1, x2 ≥ 0
What is the optimal solution point?
There are three plants scattered across the United States that manufacture Dull
computers. These plants assemble products for customers throughout the United States,
Canada, and Mexico. If Dull wishes to maximize profit by choosing the most
economical pair of factory and customer for each order, they would be well-advised to
follow the ________ model presented in this chapter.
A long period of real time is represented by a short period of ________.
In a factory, machines breakdown at an average of 6 machines per hour according to a
Poisson distribution. The time a repair person takes to repair the machine is not defined
by any probability distribution, but has a mean of 8 minutes and a standard deviation of
3 minutes.On average, how long will a machine be down and out of service?
A ________ vector is the average of the values in each row of the normalized matrix in
the AHP process.
An independent operator is planning shipments of gasoline from two sources to three
destinations. Per ton transportation costs are given in the following table.
There are 1000 tons available at A and 1300 tons available at B. Since the destinations
want as much as possible, the owner has decided to ship out all available quantities.
Solve using either stepping stone or MODI.
Consider the following constraint: 2x1 + 3x2 = 60. Assume that we convert this
constraint into a goal constraint with the value of x1 = 15 and the value of x2 = 15. Then
the values of d1
+ and d1
– are ________ and ________, respectively.
Refer to the table below to answer the question(s) that follow:
What is the estimated expected mean time (in weeks) for the project completion?
MAPD measures ________.
Kushie’s Coffee in Bangalore is a quaint establishment nestled near MG Road in the
central business district. It serves coffee and fruit cake to a clientele that has been
enjoying these products for over fifty years. The demand for coffee beans is 6600 cases
per year (each case has 24 ten-pound bags). It would be disastrous for them to run out
of coffee, so they keep a safety stock of 30 cases. The cases cost $4800 and it costs $5
per case to order coffee. As coffee is a perishable product, the holding cost is fairly high
at $40/case/year. The lead time to receive an order is seven days. Kushie’s is open 300
days a year.
What is the reorder point for Kushie’s if they reorder a quantity twice as high as their
EOQ?
Consider a capital budgeting example with five projects from which to select. Let xi = 1
if project a is selected, 0 if not, for i = 1, 2, 3, 4, 5. Write the appropriate constraint(s)
for the following condition: If project 1 is chosen, project 5 must not be chosen.
When the ________ criterion is used, the maximum of the maximum payoffs is
selected.
The Lagrangian function is ________ with respect to each variable and the resulting
equations are solved simultaneously.
Two psychology majors, in two different sections of Clinical Psychology, were
comparing test scores. The following gives the students’ scores, class mean, and
standard deviation for each section:
Section 1 Section 2Student score 84 75Mean 75 60Standard deviation 7 8
The weight of a loaf of bread is normally distributed with a mean of 22 oz and a
standard deviation of 0.5 oz. What is the probability that a loaf of bread is larger than
23 oz?