For the ________ inventory system, Q, the quantity ordered, can vary.
In a ________ transportation model where supply equals demand, all constraints are
equalities.
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.What is the probability that no machine is being fixed?
A croissant shop produces two products: bear claws (B) and almond-filled croissants
(C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS (tablespoons)
of almond paste. An almond-filled croissant requires 3 ounces of flour, 1 ounce of yeast,
and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of
yeast, and 4800 TS of almond paste available for today’s production run. The shop must
produce at least 400 almond-filled croissants due to customer demand. Bear claw
profits are 20 cents each, and almond-filled croissant profits are 30 cents each.
For the production combination of 600 bear claws and 800 almond-filled croissants,
how much flour and almond paste are remaining?
The Taco Barn
After tallying the receipts for their first year of operation, the owners of the Taco Barn
are encouraged. Sales of their artisnal tacos, made from such exotic ingredients as
ground beef, cheese, and beans, have been strong and seem to give hope to the coming
year. Taco sales by month are shown in the table.
The manager is open to suggestions for forecasting models and decides to try both a linear
trend model and a simple moving average of two periods. Generate forecasts for the year
using these technique and then calculate forecast errors using MAD to determine which is
the superior method in this scenario.
________ probability is an estimate based on a personal belief, experience, and
knowledge of a situation.
Due to increased sales, a company is considering building three new distribution centers
(DCs) to serve four regional sales areas. The annual cost to operate DC 1 is $500 (in
thousands of dollars). The cost to operate DC 2 is $600 (in thousands of dollars.). The
cost to operate DC 3 is $525 (in thousands of dollars). Assume that the variable cost of
operating at each location is the same, and therefore not a consideration in making the
location decision.
The table below shows the cost ($ per item) for shipping from each DC to each region.
Region
The demand for region A is 70,000 units; for region B, 100,000 units; for region C,
50,000 units; and for region D, 80,000 units. Assume that the minimum capacity for the
distribution center will be 500,000 units.
Write the constraints for the three distribution centers.
________ are mathematical symbols representing levels of activity.
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. There is a
swampy area between facilities A and E.
A clean-up crew is stationed at facility D and wants to take the shortest route to each
site. They usually clean up facilities C, E, A and F on the same day and therefore want
the shortest route from D to each facility. Recommend a route for the crew to leave
from D, clean up each facility one after the other, and return to facility D. (Assume all
paths are accessible.)
Refer to the table below to answer the question(s) that follow:
Within what amount of time (in weeks) is there a 99% probability that the critical path
for this project will be completed?
The first derivative of the fixed cost line is ________.
In an AOA network, a ________ activity is used to show a precedence relationship, but
it does not represent passage of time.
The following sales data are available for 2003-2008:
Determine a 4-year moving average forecast for 2008 and 2009.
Use the following table to answer the question(s) below.
If the probabilities of d1, d2, and d3 are 0.2, 0.5, and 0.3, respectively, then what
decision should be made under expected value?
The Vacation
Final exams are almost here and once they are done, it will be time to reward myself
with a well-deserved vacation. As a state employee, I haven’t seen a raise since… well,
ever. Thus an important criterion, in fact the most important criterion is to find an exotic
region that can be visited inexpensively. There are three states of nature that could
impact costs in these five areas of interest, and they correspond to the relative strength
of the US Dollar against that region’s dominant currency. Rather than squander my time
doing any actual publishable research, instead I have determined the average cost per
day to visit each region under each of the possible states of nature. This table, which
should not be construed as actual vacation advice, appears below.
I spend a lot of time second guessing myself and would hate to look back in a year or two
and realize that I had spent more than I needed to. What does the regret table look like for
this decision and what is the location of choice?
If a nonlinear programming problem results in profit (Z) of $50, and the Lagrange
multiplier for a constraint is -2, the new profit will be ________ if the right-hand side of
the constraint is increased by 1 unit.
The ________ column is the column corresponding to the entering variable.
The following data summarizes the historical demand for a product:
If the forecasted demand for June, July, and August is 32, 38 and 42, respectively, what
is MAPD?