Grand Canyon ECN601 Module 8 simulation
Every home football game for the past eight years at Eastern
State University has been sold out. The revenues
from ticket sales are significant, but the sale of
food, beverages, and souvenirs has contributed greatly
to the overall profitability of the football
program. One particular souvenir is the football program for each
game. The number of programs sold at each game is
described by the following probability distribution
|
(A) |
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NUMBER
(IN 100s) OF |
PROBABILITY |
CUMULATIVE PROBABILITY |
INTERVAL RANDOM NUMBERS |
DAY |
RANDOM NUMBER |
SIMULATED DEMAND |
|
23 |
0.15 |
0.15 |
1-15 |
1 |
7 |
23 |
|
24 |
0.22 |
0.37 |
16-37 |
2 |
60 |
25 |
|
25 |
0.24 |
0.61 |
38-61 |
3 |
77 |
26 |
|
26 |
0.21 |
0.82 |
62-82 |
4 |
49 |
25 |
|
27 |
0.18 |
1.00 |
83-100 |
5 |
76 |
26 |
|
6 |
95 |
27 |
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|
Historically, Eastern has never sold fewer than 2,300 |
7 |
51 |
25 |
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|
programs or more than 2,700 programs at one game. |
8 |
16 |
24 |
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|
Each program costs $0.80 to produce and sells for |
9 |
14 |
23 |
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|
$2.00. Any programs that are not sold are donated to |
10 |
85 |
27 |
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|
a recycling center and do not produce any revenue. |
Average |
25.1 |
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|
(a) Simulate the sales of programs at 10 football |
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games. Use the last column in the random number |
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table (Table 14.4) and begin at the top of the |
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column. |
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(b) If the university decided to print 2,500 programs |
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for each game, what would the average profits be |
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for the 10 games simulated in part (a)? |
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(c) If the university decided to print 2,600 programs |
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for each game, what would the average profits be |
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for the 10 games simulated in part (a)? |
Problem 14-25
Stephanie Robbins is the Three Hills Power
Company management analyst assigned to simulate maintenance costs. In Section
14.6 we describe the simulation of 15 generator breakdowns and the repair times
required when one repairperson is on duty per shift. The total simulated
maintenance cost of the current system is $4,320.
Robbins
would now like to examine the relative cost-effectiveness of adding one more
worker per shift. The new repairperson would be paid $30 per hour, the same
rate as the first is paid. The cost per breakdown hour is still $75. Robbins
makes one vital assumption as she begins-that repair times with two workers
will be exactly one-half the times required with only one repairperson on duty
per shift. Table 14.13 can then be restated as follows:
REPAIR
TIME REQUIRED (HOURS) PROBABILITY
0.5
……………………………………… 0.28
1
……………………………………… 0.52
1.5
…………………………………… 0.20
1.00
(a)
Simulate this proposed maintenance system change over a 15-generator breakdown
period. Select the random numbers needed for time between breakdowns from the
second-from-the-bottom row of Table 14.4 (beginning with the digits 69). Select
random numbers for generator repair times from the last row of the table
(beginning with 37).
(b)
Should Three Hills add a second repairperson eachshift?
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Rating:
/5
Solution: Grand Canyon ECN601 Module 8 simulation