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1. Determine the critical path for the project network in the following Figure:

1. Determine the critical path for the project network in the following Figure:

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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18:50 ← 6-9-12 9 BS III Sem II As... 目 1. Determine the critical path for the project network in the following Figure: 3 7 10 1 4 4 2. The utility data for a network are given below. Determine the total, free and independent floats and identify the critical path. 3-4 3-6 4-7 5-7 6-7 Activity 0-1 1-2 1-3 2-4 2-5 Duration (Days) 2 8 10 6 3 3 7 5 2 8 3. A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5 minutes while cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival and exponential distribution for service time, find i. Average number of customers in the system. ii. Average number of customers in the queue. iii. Average time customer spends in the system. iv. Average time a customer waits before being served. 4. Consider the network shown in the following figure. For each activity, the three time estimates to, tm and tp are given along the arrows in the to-tm - tp order. Determine variance and expected time for each activity. 14-17-20 30 13-18-25 7-10-13 3 10 4 $ 6 12-15-18 0-14-16 Vo LTE 17-20-25 4G (10 4-7-8 9-11-12 5. A bakery keeps stock of a popular brand of cake. Daily demand based on past experience is given below: 25 15 35 45 50 Daily demand 0 0.15 0.20 0.50 0.12 0.02 Probability 0.01 Consider the following sequence of random numbers: 48, 78, 09, 51, 56, 77, 15, 14, 68, 09. i. Using the sequence simulate the demand for next 10 days. ii. Find the stock situation if the owner of the bakery decides to make 35 cakes every day. Also estimate the daily average demand for the cakes on the basis of the simulated data. ا 79% ●●●●
Transcribed Image Text:18:50 ← 6-9-12 9 BS III Sem II As... 目 1. Determine the critical path for the project network in the following Figure: 3 7 10 1 4 4 2. The utility data for a network are given below. Determine the total, free and independent floats and identify the critical path. 3-4 3-6 4-7 5-7 6-7 Activity 0-1 1-2 1-3 2-4 2-5 Duration (Days) 2 8 10 6 3 3 7 5 2 8 3. A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5 minutes while cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival and exponential distribution for service time, find i. Average number of customers in the system. ii. Average number of customers in the queue. iii. Average time customer spends in the system. iv. Average time a customer waits before being served. 4. Consider the network shown in the following figure. For each activity, the three time estimates to, tm and tp are given along the arrows in the to-tm - tp order. Determine variance and expected time for each activity. 14-17-20 30 13-18-25 7-10-13 3 10 4 $ 6 12-15-18 0-14-16 Vo LTE 17-20-25 4G (10 4-7-8 9-11-12 5. A bakery keeps stock of a popular brand of cake. Daily demand based on past experience is given below: 25 15 35 45 50 Daily demand 0 0.15 0.20 0.50 0.12 0.02 Probability 0.01 Consider the following sequence of random numbers: 48, 78, 09, 51, 56, 77, 15, 14, 68, 09. i. Using the sequence simulate the demand for next 10 days. ii. Find the stock situation if the owner of the bakery decides to make 35 cakes every day. Also estimate the daily average demand for the cakes on the basis of the simulated data. ا 79% ●●●●
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