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Assignment 4 solutions, BUS 220 – Introduction to Decision Sciences
Problem 1:
(30 points)
The spreadsheet for this problem is as follows:
Selected cell formulas are as follows:
Cell
Formula
B9
=NORMINV(RAND(),$C$4,$C$5)
F10
=COU
NTIF(B9:B508,”>40000”)
a. Most simulations will provide between 105 and 130 tires exceeding 40,000
miles.
The percentage should be roughly 24%.
b.
Mileage
In Most
Simulations
Number of Tires
Approximate
Percentage
32,000
80 to 100
18%
30,000
42 to 55
10%
28,000
18 to 30
4%
c. Of mileages considered, 30,000 miles should come closest to meeting the
tire guarantee mileage guideline.
Problem 2
a.(10 points)
Let
x
1
= number of units of product 1 produced
x
2
= number of units of product 2 produced
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
A
B
C
D
E
F
G
Grear Tire Company
Tire Mileage
Mean
Standard Deviation
5000
Simulation
Results
Tire
Mileage
1
38,379
Mileage
Number
Percent
2
36,597
Exceed 40,000
118
23.6%
3
28,820
Less Than 32,000
88
17.6%
4
38,387
Less Than 30,000
48
9.6%
5
39,638
Less Than 28,000
25
5.0%
6
34,548
Note: To reconstruct the complete speadsheet:
1.
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 Fall '08
 drexel

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