solution

Modeling is a process
where the essence of a theoretical problem is extracted into a model,
spreadsheet or otherwise.

True

False

Question 8 (1 point) In
some applications, an analyst might present several alternative solutions from
a model, and let the organization choose the best one.

True

False

Question 9 (1 point) A
management science model is typically initiated when an organization believes
it has a problem.

True

False

Question 10 (1 point) A
completed model typically marks the end of the modeling process.

True

False

Choose the Right Answer

Question 11 (1 point) In
an optimization model, there can only be one:

Decision variable

Constraint

Objective function

Shadow price

 
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solution

The condition of
nonnegativity requires that:

the objective function
cannot be less than zero

the decision variables
cannot be less than zero

the right-hand side of
the constraints cannot be greater than zero

the reduced cost cannot
be less than zero

Question 13 (1 point) If
a manufacturing process takes 4 hours per unit of xy and 2 hours per unit of x2
and a maximum of 100 hours of manufacturing process time are available, then an
algebraic formulation of this constraint is:

4×7 + 2×2 2 100

O4x2 – 2×2 s 100

4×7 – 2×2 2 100

4×7 + 2×2 < 100

Question 14 (1 point)
Linear programming models have three important properties. They are: o

O optimality, additivity and sensitivity a

O optimality, linearity and divisibility

divisibility, linearity
and nonnegativity

o proportionality,
additivity and divisibility

Question 15 (1 point)
Which of the following statements is a type of constraint that is often
required in blending problems?

Quality constraint

Integer constraint

Binary constraint

None of the above

 
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solution

Background:

Early China experienced stability with the early dynastic period. The Xia and Zhou helped expand early Chinese territories and brought some base level of prosperity to much of China. However, by the late 400s BCE, rival factions began to develop ushering in the Warring States Period. Walls were built between states. Military ranks were also increased. Trade wars emerged to increase revenue. Land was seized from rival states.

Discussion Topic: 9

Of the items noted above, which do you think had the greatest impact on bringing the stability of the late Zhou Dynasty to an end and introducing rivalry and war? Were the defensive walls the most egregious? Were the increases in military personnel the most significant? Were the trade war competitions the most detrimental? Was the invasion and capture of land the most devastating?

 
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solution

Scroll further
down to submit your answers A production line manufactures basic electronic
parts. If an electronic part does not work, it will be considered as one defect
and scrapped. A simple random sample of 12,000 parts is tested to assess the
production line. Fifty four defects were found. In answering the following
questions, you would need to use the specified number of decimal places. In
addition, to calculate the sigma level, you can use Excel by typing in
=Norm.S.INV(1-DPU)+1.5 where DPU is the value you get earlier. And, to
calculate the number of expected defects, you need to rely on the lookup table
below.

(a)[6] What is the DPU
of the production line? (use 7 decimal places if applicable)

(b)[4] What is the
corresponding DPMO? (use 1 decimal place if applicable)

(c)[6] What is the sigma
level? (use 2 decimal places)

(d)[4] For a sigma level
of 3.0, what would be the number of defects? (use 2 decimal places)

Sigma Level 2.0 3.0 4.0
5.0 6.0

DPMO 308,537.5 66,807.2
6,209.7 232.6 3.4

 
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