OPRS 235a, fall of 2010
Openbook openweb takehome midterm exam
This test is to be turned in at the start of class on Tuesday, October 19
th
.
You are to copy and sign the statement that appears below in quotes and turn it in with
your answers to the questions on this test:
“I did this test by myself.
I communicated with no person other than Eric
Denardo about any matter having anything to do with the content of OPRS 235
from 2:15 Thursday, October 14
th
, until I turned the test document in.
signature
”
1.
(10 points)
For a maximization problem in Form 1, the following tableau has been
encountered.
In it,
*
stands for an unspecified data element.
Prove there exist no
values of the unspecified data elements for which it is optimal to set
A
>
0.
Hint:
If a
feasible solution exists with
A
>
0,
show that it is profitable to
perturb
that solution in
a particular way.
2.
(30 points)
A company makes two products in a single plant.
It can run this plant for
as much as
100
hours each week.
Each unit of product
A
that the company produces
consumes
2
hours of plant capacity, earns the company a contribution of
$1,000
and
causes, as an undesirable side effect, the emission of
2
ounces of particulates.
Each unit
of product
B
that the company produces consumes
1
hour of capacity, earns the
company a contribution of
$2,000
and causes, as undesirable side effects, the emission
of
1.5
ounces of particulates and of
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 Fall '10
 ERICDENARDO

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