Compute the average number of machines

Assignment Help Operation Management

Reference no: EM13741635

1. The Hey lake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the follow ng probability distribution. The squad is on duty 24 hours per day, 7 days per week:

Time Between Emergency Calls (hr.)	Probability
1	0.05
2	0.10
3	0.30
4	0.30
5	0.20
6	0.05
	1.00

a. Simulate the emergency calls for 3 days (note that this will require a 'running', or cumulative, hourly clock), using the random number table.

b. Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why are the results different?

2. The time between arrivals of cars at the Petroco Service Station is defined by the following probability distribution:

Time Between Arrivals (min.)	Probability
1	0.25
2	0.30
3	0.35
4	0.10
	1.00

a. Simulate the arrival of cars at the service station for 20 arrivals and compute the average time between arrivals.

b. Simulate the arrival of cars at the service station for 1 hour, using a different stream of random numbers from those used in (a) and compute the average time between arrivals.

c. Compare the results obtained In (a) and (b).

3. The Dynaco Manufacturing Company produces a product in a process consistingof 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	0.05
1	0.15
2	0.20
3	0.30
4	0.25
5	0.05
	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:

		Weather Conditions
Decision	Rain	Overcast	Sunshine
	.30	.15	.55
Sun visors	5-500	5-200	51,500
Umbrellas	2.000	0	-900

5. Every time a machine breaks down at the Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required to ft' It, according to the following probability distribution:

Repair Time (hr.)	Probability
1	0.25
2	0.55
3	0.20
	1.00

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

Reference no: EM13741635

Questions Cloud

Advantage and disadvantage of price ceilings-price floors : Describe at least one advantage and one disadvantage of price ceilings and price floors. Do you think price ceilings and floors are more helpful or more harmful to consumers and the economy? Explain.

Determine your nutrition and fitness goals : Determine your nutrition and fitness goals, Choose goals that you believe are appropriate for your current health. For some, the goal may be healthy weight loss or gain by balancing the food you eat with physical activity

The most critical leadership issue facing organizations : What do you think is the one most critical leadership issue facing organizations in the second decade of the 21st century. Why is this issue more critical than any other of the many organizational issues facing management

Clearly discuss why america first remained neutral : Clearly discuss why America first remained neutral between1914-1917. What role did ethnicity play in America's neutrality?

Compute the average number of machines : Compute the average number of machines that will break down per week. Simulate the following decision situation for 20 weeks, and recommend the best decision.

Describe tourism development goals of the country or region : Describe the tourism development goals of the country or region. Identify the levels in planning hierarchy (the government bureaucracies, private consultants, private developers, etc) interested in these goals

Describe these recent outbreaks from other vaccine : Whooping Cough New Recommendations-Describe these recent outbreaks or outbreaks from other vaccine preventable diseases such as measles or mumps

Does competition affect financial stability : Does competition affect financial stability - It a research proposal - the goal must be clear and it must be like an investigation activity

Labor productivity per labor-hour : What is the labor productivity per labor-hour for these tires at Lakefront Manufacturing?

User Account

All Pages