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Practice Final AEM 412
You should be able to finish your test in 2:30 minutes comfortably.
Read the questions carefully. For each question read all its subquestions
before starting answering it. I also suggest that you read all the questions
before starting answering them so that you can decide how you want to
allocate your time.
I have checked and there are (not including this one), _________ pages in the final
exam handout (fill in the blank). Further, in signing below I agree to abide by the
Cornell University Code of Academic Integrity with respect to this exam.
Name ______________________________
Email Address ____________________________
Signature_______________________________
May 18, 2005.
Here is a suggestion for the allocation of your time among questions
[
100 points
total]:
Q1. 30 minutes (
[25 points]
Linear Programming and Computer Analysis
)
Q2. 15 minutes (
[25 points]
Network Models I).
Q3. 20 minutes (
[25 points]
Network Models II)
Q4. 15 minutes (
[10 points]
Duality)
Q5. 15 minutes
(
[15 points]
Integer Programming).
GOOD LUCK
!
1
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[25 points]
Linear Programming and Computer Analysis
Carco manufactures cars and trucks. Each car contributes $300 to profit and each
truck, $400. The resources required to manufacture a car and truck are shown in
the table below. Each day, Carco can rent up to 98 type 1 machines at a cost of
$50 per machine. At present, the company has 73 type 2 machines and 260 tons
of steel available. Marketing considerations dictate that at least 88 cars and at
least 26 trucks be produced. Let
X1 – number cars produce daily
X2 – number of trucks produced daily
M1 – type 1 machines rented daily
Days on Type 1
Machine
Days on Type 2
Machine
Tons of steel
Car
0.8
0.6
2
Truck
1
0.7
3
To maximize profit, Carco should solve the following LP
(it’s okay to get
fractional solutions – this is only for planning purposes).
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This note was uploaded on 02/25/2011 for the course AEM 4120 taught by Professor Gomes,c. during the Fall '08 term at Cornell University (Engineering School).
 Fall '08
 GOMES,C.

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