Question

3. The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows:
Machine Breakdowns
Per Week   Probability
0 0.10
1 0.20
2 0.15
3 0.30
4 0.15
5 0.10

1.00
a. Simulate the machine breakdowns per week for 20 weeks.
b. Compute the average number of machines that will break down per week.
4. Simulate the following decision situation for 20 weeks, and recommend the best decision.
A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather forecast in college junction, where the game is to be held. The manager estimates that the following profits will result from each decision, given each set of weather conditions:
Decision Weather Conditions

Rain 0.35 Overcast 0.25 Sunshine 0.40
Sun visors $-400 $-200 $1,500
Umbrellas 2,100 0 -800
5. Every time a machine breaks down at the Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required to fix it, according to the following probability distribution:
Repair Time (hr.) Probability
1 0.20
2 0.50
3 0.30

1.00
Simulate the repair time for 20 weeks and then compute the average weekly repair time.

Answer 1