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Practice questions for this set
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mistake in the formulation of the problem
Choose an answer
1 When there is a problem with Solver being able to find a solution, many times it is an indication of a:
mutual fund manager must decide how much money to invest in Atlantic Oil (A) and how much to
A
2 invest in Pacific Oil (P). At least 60% of the money invested in the two oil companies must be in Pacific
Oil. A correct modeling of this constraint is
A marketing research firm must determine how many daytime interviews (D) and evening interviews
3 (E) to conduct. At least 40% of the interviews must be in the evening. A correct modeling of this
constraint is: -0.4D + 0.6E > 0.
Let M be the number of units to make and B be the number of units to buy. If it costs $2 to make a
4
unit and $3 to buy a unit and 4000 units are needed, the objective function is
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Terms in this set (151)
A mutual fund manager must -0.6A + 0.4P > 0.
decide how much money to
invest in Atlantic Oil (A) and how
much to invest in Pacific Oil (P).
At least 60% of the money
invested in the two oil
companies must be in Pacific
Oil. A correct modeling of this
constraint is
,An ad campaign for a new snack 500T + 200R + 400N ≤ 10000
chip will be conducted in a
limited geographical area and
can use TV time, radio time, and
newspaper ads. Information
about each medium is shown
below.
Medium
Cost Per Ad
# Reached
Exposure Quality
TV
500
10000
30
Radio
200
3000
40
Newspaper
400
5000
25
If the number of TV ads cannot
exceed the number of radio ads
by more than 4, and if the
advertising budget is $10000,
you will develop the model that
will maximize the number
reached and achieve an
exposure quality if at least 1000.
Let T = the number of TV adsLet
R = the number of radio adsLet
N = the number of newspaper
ads
(C) Please select the constraints
for this decision problem.
In a production scheduling LP, beginning inventory + production - ending inventory = demand.
the demand requirement
constraint for a time period
takes the form
Let A, B, and C be the amounts −.5A + .5B − .5C ≤ 0
invested in companies A, B, and
C. If no more than 50% of the
total investment can be in
company B, then
Let M be the number of units to Min 2M + 3B
make and B be the number of
units to buy. If it costs $2 to
make a unit and $3 to buy a unit
and 4000 units are needed, the
objective function is
Media selection problems how many times to use each media source.
usually determine
, As part of the settlement for a a. 1.05125G2 + 1.04S4 - S5 = 315
class action lawsuit, Hoxworth b. F - 1.055G1 - 1.000G2 - S1 = 190
Corporation must provide d. All decision variables are non-negative.
sufficient cash to make the e. 1.0675G1 + .05125G2 + 1.04S3 - S4 = 285
following annual payments (in g. 1.04S5 = 460
thousands of dollars). h. .0675G1 + .05125G2 +1.04S1 - S2 = 215
The annual payments must be i. .0675G1 + .05125G2 + 1.04S2 - S3 = 240
made at the beginning of each
year. The judge will approve an
amount that, along with earnings
on its investment, will cover the
annual payments. Investment of
the funds will be limited to
savings (at 4% annually) and
government securities, at prices
and rates currently quoted in
The Wall Street Journal.
Hoxworth wants to develop a
plan for making the annual
payments by investing in the
following securities (par value 5
$1000). Funds not invested in
these securities will be placed in
savings.
Assume that interest is paid
annually. The plan will be
submitted to the judge and, if
ap- proved, Hoxworth will be
required to pay a trustee the
amount that will be required to
fund the plan. a. Use linear
programming to find the mini
The production scheduling material.
problem modeled in the
textbook involves capacity
constraints on all of the
following types of resources
except
To study consumer marketing research.
characteristics, attitudes, and
preferences, a company would
engage in
A company makes two products, False
A and B. A sells for $100 and B
sells for $90. The variable
production costs are $30 per
unit for A and $25 for B. The
company's objective could be
written as: MAX 190x1 − 55x2.
A company makes two products True
from steel; one requires 2 tons
of steel and the other requires 3
tons. There are 100 tons of steel
available daily. A constraint on
daily production could be
written as: 2x1 + 3x2 ≤ 100.
A decision maker would be wise False
to not deviate from the optimal
solution found by an LP model
because it is the best solution.