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Gabrielle Kramer, owner of Pet Paradise, is opening a new store in Columbus, Ohio. Her major concern is the hiring of a manager and several associates who are animal lovers. She also has to coordinate the renovation of a building that was previously owned by a chic clothing store. Kramer has gathered the data shown in Table 7.14.
- How long is the project expected to take?
- Suppose that Kramer has a personal goal of completing the project in 14 weeks. What is the probability that it will happen this quickly?
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Chapter 7 Solutions
Operations Management: Processes and Supply Chains, Student Value Edition Plus MyLab Operations Management with Pearson eText -- Access Card Package (11th Edition)
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- The following table shows estimates of activity times (in weeks) for a project: b. What is the probability that the project will be completed within 33 weeks? c. What is the probability that the project will be completed in more than 34 weeks? Activity d. What is the probability that the project will be completed in 35 weeks? ABCDEFG А G Optimistic Most Probable Time Time 5 6 3.5 4 3 6 7 5 9 4 6.5 Suppose that the critical path is A-C-E-F-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the project will be completed within 36 weeks? 6 10.5 Pessimistic Time 7 4.5 5 10 9 7 15arrow_forwardA project consists of five activities listed below. The project network is shown for the activities. The critical path is B-C-E and the expected completion time is 8. Optimistic Most Probable Pessimistic Activity Time (hr) Time (hr) Time (hr) A Floor sanding 3 4 5 B Paint mixing 0.5 1 1.5 C Ceiling painting 1 5.5 7 D Wall painting 1 2 9 E Floor buffing 1 2 3 What is the probability that the project can be completed within 9 hr.?arrow_forwardProblem 2: Chicago Project You are asked to manage an upcoming project for a client based in Chicago. Your supervisor, Susan, asked you to determine if the project will be completed in 2 months (60 days). Susan sent you the estimated time durations (in days) for the project. The information is given below: Compute the expected time and variance for each activity. What is the critical path and the expected duration of the project? What is the probability that the project will take longer than 58 days to complete?arrow_forward
- 8. You are in charge of organizing a dinner-dance concert for a local charity. You have reserved a hall that will seat 30 couples and have hired a band. Develop a scope statement for this project that contains examples of all the elements. Assume that the event will occur in 4 weeks and provide your best guess estimate of the dates and milestones.arrow_forwardThe diagram below was developed for the project launch of Kitty Condo, a new product in the luxury cat cage market. Suppose that you are interested in finding ways to speed up the project at minimal additional cost. Determine the schedule for completing the project in 26 days at minimum cost. Penalty and project overhead costs are negligible. Time and cost data for each activity are shown below. Activity A B C D E F G I 1 Normal Time (days) 9 11 7 11 12 6 10 6 5 Cost ($) Time (days) 1,300 1,050 3,000 2,000 650 700 1,550 600 2,200 Activity A B C D E Crash 7 9 3 10 10 3 7 3 1 Calculate the total cost for this project's schedule. Total cost = $ (Enter your response as a whole number.) Time according to schedule (days) Cost ($) 2,700 1,280 6,200 2,300 1,100 1,900 2,750 1,125 5,800 A Activity F G H | Start B E Diagram Fill in the table below to show the proper schedule for completing the project in 26 days at minimum cost (i.e., the activity times with crashing for each activity). (Enter…arrow_forwardA project has the activity duration and cost information indicated in the table where all times are in weeks. What is the total cost for completing this project in 50 days? Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost A -- 8 $12,000 5 $21,000 B A 12 $20,000 9 $30,000 C A 15 $24,000 10 $60,000 D B 3 $10,000 2 $15,000 E C 9 $17,000 6 $34,000 F E 7 $5,000 6 $6,000 G D 8 $14,000 6 $20,000 H A 12 $22,000 10 $30,000 I H 6 $50,000 5 $55,000 J F, G, I 11 $33,000 9 $50,000arrow_forward
- Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B с D 7 8 80 31 3 A A Dave's earliest start (ES) and earliest finish (EF) are: Activity A EFI G H ES EF 7 4 5 11 6 B B C, E D, Farrow_forwardActivities, preceding activities, normal and crashed completion times of each of the activities and crashed costs of activities per week of a project are given in the following table. Activity Preceding Activity Crashed Completion time (week) Normal Crashed Cost Completion Time (week) 7 per week A 7 6. 5 $500 $700 $600 $800 $400 C A 4 3 A, C В, D D, E D 9 E 10 9. F 9 II. Find the slack time of each of the activities and the critical activities. Find the minimum possible completion time of the project by considering the crashed completion times and the minimal total cost of crashing the project. iv.arrow_forwardExpected length of a project is 37.16 days and the variance of its length is 6.14 days. What is the probability that the project is completed within 40 days?arrow_forward
- A project consisting of the following activities: Activity Predecessor Duration (months) A 2 B Activity A Duration (hours) 1 Predecessor - 3 C 2 D B B 5 1 4 E A, B C 3 1 3 F B 2 D 3 2 G F, C 5 H G Identify the critical path and obtain the project completion time. Calculate free float for each activity. The table describes the activities needed in planning a training session. E 1 4 4 I F F 4 4 3 J I, D 2 G 1 5 H 3 3,6 Determine the critical path and the expected completion time of the training session. K J 1 L E 6arrow_forwardThe estimated times and immediate predecessors for the activities in a project at Howard Umrah's retinal scanning company are given in the following table. Assume that the activity times are independent. Immediate Predecessor(s) Time (weeks) Time (weeks) Immediate Predecessor(s) Activity Activity 10 10 11 16 10 11 11 A 4 в This exercise contains only parts a, b, c, d, and e. a) Based on the activity time estimates, the expected times and variance for each of the activities are (round your response to two decimal places): Expected Time Activity A Variance b) The expected completion time of the critical path = weeks (round your response to two decimal places). The expected completion time of the path other than the critical path weeks (round your response to two decimal places). = c) The variance of the critical path = weeks (round your response to two decimal places). The variance of the path other than the critical path = weeks (round your response to two decimal places). d) If the…arrow_forward1. A project was planned using PERT with three-time estimates. The expected completion time of the project was determined to be 40 weeks. The variance of the critical path is 9. (b) What is the probability that the project takes longer than 40 weeks?arrow_forward
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