2 probability questions
NATHALIA NELSONcopy_of_week_8_benchmark_simulation_problems.xlsx
13-19
Problem 13-19 Template | ||||||||||
every 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 profitibility 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 probability distribution shown below. Historically, Eastern has never sold fewer than 2,300 programs or | ||||||||||
more than 2,700 programs at one game. Each program costs $.80 to produce and sells for $2.00. any programs that are | ||||||||||
not sold are donated to a recycling center and do not produce any revenue. | ||||||||||
A. Simulate the sales of programs at 10 football games. Use the last column in the random number table and begin at the top of the column | ||||||||||
B. If the university decided to print 2,500 programs for each game, what would the average profits be for the 10 games in part A? | ||||||||||
C. if the university decided to print 2,600 programs for each game, what would the average profits be for the 10 games in part A? | ||||||||||
Number (in 100s) of Programs Sold | Probability | Cumulative Probability | Interval of Random Number (range defined by Cumulative Probability) | Day | Random Number Selection (from Table 14.4) | Demand (100s) - based on selected Random Number | Part b: Quantity Sold | Part b: Profit | Part c: Quantity Sold | Part c: Profit |
23 | 0.15 | |||||||||
24 | 0.22 | |||||||||
25 | 0.24 | |||||||||
26 | 0.21 | |||||||||
27 | 0.18 | |||||||||
13-25
Problem 13-25 Template | ||||||||||||||
Stephanie Robbins is the Three Hills Power company management analyst assigned to simulate maintenance costs. The simulation | ||||||||||||||
of 15 generator breakdowns and the repair times required when one repairperson is on duty per shift is $4,320. Robbins would | ||||||||||||||
like to examine the relative cost-effectiveness of adding one more worker per shift. Each new repairperson would be paid $30 per | ||||||||||||||
hour, the same rate as the first is paid. The cost per breakdown hours 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. | ||||||||||||||
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. Selct random numbers for generator repair times from the last | ||||||||||||||
row of the table | ||||||||||||||
B. Should Three Hills add a second repairperson each shift? | ||||||||||||||
Repair Time Required (Hours) | Probability | Cumulative Probability | Interval of Random Number (range defined by Cumulative Probability) | Breakdown Number | Random Number Selection (from Table 14.4) | Time Between Breakdowns (hrs) (from Table 14.12) | Convert Time Between Breakdowns to 00:00 Format | Time of Breakdown (00:00) | Time this Person is Free to Begin this Repair (00:00) | Random Number Selection (from Table 13.4) | Repair Time Required (hrs) (range defined by Cumulative Probability) | Convert Repair Time Required to 00:00 Format | Time Repair Ends (00:00) | Number of Hours Machine is Down |
0.50 | 0.28 | |||||||||||||
1.00 | 0.52 | |||||||||||||
1.50 | 0.20 | |||||||||||||