Problem F. 15 Question Help Connecticut Tanning has two tanning beds. One bed serves the company's regular members exclusively. The second bed serves strictly walk-in customers (those without appointments) on a first-come, first-served basis. Orv Karan, the store manager, has noticed on several occasions during the busy 5 hours of the day (2:00 p.m. until 7:00 p.m.) that potential walk-in customers will most often walk away from the store if they see one person already waiting for the second bed. He wonders if capturing this lost demand would justify adding a third bed. Leasing and maintaining a tanning bed costs Connecticut Tanning $450 per month. The price paid per customer varies according to the time in the bed, but Orv has calculated the average net income for every 10 minutes of tanning time to be $3.00. A study of the pattern of arrivals during the busy hours and the time spent tanning has revealed the following: Time between Arrivals (minutes) Time in Tanning Bed (minutes) Probability 0.35 0.15 0.25 0.05 0.20 Probability 0.15 0.35 0.40 0.10 20 a) Simulate 4 hours of operation (arrivals over 4 hours). Assume there is one person who has just entered the bed at 2:00 p.m. for a 10-minute tan. Indicate which customers balk at waiting for the bed to become available. How many customers were lost over the 4 hours? Use the following random numbers for arrival times: 32, 73, 41, 38, 73, 01, 09, 64, 34, 55, 84, 16, 98, 49, 00, 30, 23, 46, 75, 13, 29, 08. Use the following random numbers for tanning times: 47, 03, 11, 10, 67, 23, 89, 62, 56, 74, 54, 31, 62, 37, 33, 33. 82, 68, 50, 22, 27, 08. Fill in the table below. (Enter your responses as whole numbers. Use standard notation for time. Type a dash "-"in each box for begin and end time for tanning and waiting if there is no begin/end time (i.e., if the customer balks).) Arrivals Tanning time Wait time Time Customer RN Arrived, RN Time line Begin End Begin End Balk? p.m. 2:00 - 10 2:00 2:10 - - 1 32 2:05 47 15 2:10 2:25 2:05 2 : 10 2 73 00 030 00 00 00 00 No No Problem F. 15 Question Help Connecticut Tanning has two tanning beds. One bed serves the company's regular members exclusively. The second bed serves strictly walk-in customers (those without appointments) on a first-come, first-served basis. Orv Karan, the store manager, has noticed on several occasions during the busy 5 hours of the day (2:00 p.m. until 7:00 p.m.) that potential walk-in customers will most often walk away from the store if they see one person already waiting for the second bed. He wonders if capturing this lost demand would justify adding a third bed. Leasing and maintaining a tanning bed costs Connecticut Tanning $450 per month. The price paid per customer varies according to the time in the bed, but Orv has calculated the average net income for every 10 minutes of tanning time to be $3.00. A study of the pattern of arrivals during the busy hours and the time spent tanning has revealed the following: Time between Arrivals (minutes) Time in Tanning Bed (minutes) Probability 0.35 0.15 0.25 0.05 0.20 Probability 0.15 0.35 0.40 0.10 20 a) Simulate 4 hours of operation (arrivals over 4 hours). Assume there is one person who has just entered the bed at 2:00 p.m. for a 10-minute tan. Indicate which customers balk at waiting for the bed to become available. How many customers were lost over the 4 hours? Use the following random numbers for arrival times: 32, 73, 41, 38, 73, 01, 09, 64, 34, 55, 84, 16, 98, 49, 00, 30, 23, 46, 75, 13, 29, 08. Use the following random numbers for tanning times: 47, 03, 11, 10, 67, 23, 89, 62, 56, 74, 54, 31, 62, 37, 33, 33. 82, 68, 50, 22, 27, 08. Fill in the table below. (Enter your responses as whole numbers. Use standard notation for time. Type a dash "-"in each box for begin and end time for tanning and waiting if there is no begin/end time (i.e., if the customer balks).) Arrivals Tanning time Wait time Time Customer RN Arrived, RN Time line Begin End Begin End Balk? p.m. 2:00 - 10 2:00 2:10 - - 1 32 2:05 47 15 2:10 2:25 2:05 2 : 10 2 73 00 030 00 00 00 00 No No
