The patriarch of the least funny comic strip in the history of the world must assign loathsome tasks to his children and spouse. Time estimates, based on historical performance, are provided in the table. Suppose that each person will work on only one task, and each task will be assigned only one person. Rake Cook Muck Billy 12 10 10 Dolly 9 10 14 Jeffy 17 14 12 PJ 15 7 11 Thel 13 18 22 Formulate an LP (write down your model including variable definitions), but DO NOT SOLVE.
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- Consider a project with seven tasks. Three tasks – tasks 3, 4, and 5 – require a specific resource for completion; all needed resources must be available at the site before a task can be started. Task Duration Predecessor (s) Units of Value of Resource Completed Task Needed 3 3 10 $4000 3 1 10 S3000 3 12 $5000 1 4 7 2, 5,6 Each resource unit cost $100; no quantity discounts are available. In addition, it costs $2 per unit per time period to hold this resource in stock, and it costs $45 just to place an order for materials (independent of the number of units ordered). When should each task in the project be started and when and how many resources should be ordered to minimize total project costs? 1. 1, en en 1. 2. enB/U pe Activity A B D 11. A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $4,000 per week for every week the project exceeds 37 weeks. What is the lowest total cost for completing this project? Predecessor Time 18 11 A A B C E D Normal A H 12 15 3 19 Asbe de ABC' AMBBC RACE AB 7 8 12 6 Normal Cost Crash Time Crash Cost $22,000 $32,000 $62,000 $18,000 $35,000 $8,000 $23,000 $32,000 $56,000 $12,000 5 $18,000 19 $22,000 $9,000 $15,000 $5,000 $13,000 $20,000 $45,000 2 5 4Jamison Day Consultants has been entrusted with thetask of evaluating a business plan that has been divided into foursections—marketing, finance, operations, and human resources.Chris, Steve, Juana, and Rebecca form the evaluation team. Eachof them has expertise in a certain field and tends to finish thatsection faster. The estimated times taken by each team memberfor each section have been outlined in the table below. Furtherinformation states that each of these individuals is paid $60/hour.a) Assign each member to a different section such that JamisonConsultants’s overall cost is minimized.b) What is the total cost of these assignments?Times Taken by Team Members for Different Sections (minutes)MARKETING FINANCE OPERATIONS HRChris 80 120 125 140Steve 20 115 145 160Juana 40 100 85 45Rebecca 65 35 25 75
- PERT/CPM HOMEWORK (MOD 10) In the table below, you will see activities and times associated with each activity. Review the PowerPoint slides in Module 10 , before you start this assignment. Task Preceding Tasks to (optimistic) tm (most likely) tp (pessimistic) A NONE 2 3 10 B NONE 2 3 4 C A 1 2 3 D A 4 6 14 E B 4 5 12 F C 3 4 5 G D,E 1 1 7 1.) Draw the network using the table above. Make sure all 4 values (ES, EF, LS, LF) are listed on the network. 2.) What is the slack for each activity? What is the critical path? Show ALL of your work! 3.) Find the expected project completion time. What is the project variance? 4.) What is the probability that it would be in more than 14 days? Show ALL of your work. *The circle diagram picture is just an example of how it should look it is not apart of the problem in the chartYou have been assigned a project and in your preliminary planning you have developed table 2 below, it outlines eight activities (A to H) that must be completed. For each activity you have obtained the estimated duration, cost per day and the prior task(s). Activity A B с D E F G H Z Duration (days) 3 4 12 6 16 15 Cost/week ($) 2500 6000 3000 10000 15000 10000 7 8 0 Prior Tasks None B, D C, E E, F,G 0 All *Assume that there are five (5) workdays in each week Table 2 2000 2500 A A, B A, B D Using the information provided: a) Create a network diagram for the project. b) Construct a Gantt Chart for the project. c) Determine the minimum time in which the project can be completed. 1Ed is planning to build a treehouse as a present for his son's upcoming 10th birthday. The details for each task are as follows: DE F G AD C,E F 12 Task A B Preceding Task Duration (day) | 12 A B 10 12 5 Cost (RM) 50 140 120 60 70 80 60 (a) Obtain the following: • The number of days it will take for Ed to finish building the treehouse. • Which tasks are cannot be delayed at all without delaying the whole project. • The total cost of building the treehouse. (b) Due to illness, Ed has to begin building the treehouse later than planned. He reckons that he must reduce the build duration by 3 days to complete the treehouse by his son's birthday. He has determined the crash cost and crash time for each task as follows: Task А В С DE F G Crash Time (day) | 12 8 9 8 10 5 6 Crash Cost (RM) | 50 170 180 70 95 80 60 Obtain the following: • All tasks that are crashed and by how much. • The new total cost for building the treehouse.
- A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Optimistic Time (hr) Most Probable Time (hr) 4 4 0.5 2 3 5 5 Сл 1 3 7.5 Pessimistic Time (hr) 6 6 1.5 10 9 Naturally, the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing. (a) Construct the PERT/CPM network for this problem.Given the data for a project in table Q3, using the following assumptions: 1. 8 hours as working day 2. The company will work all days. 3. Maximum number of workers available per day is 6 4. Activities cannot be break down 5. Budget will distributed equally per day, except for activities (B, H and L), the payment will be after two days of working: means that the first payment will be at the end of day2, then day four and so on. 6. They estimate that the work will starts on the first of November 2017 Develop a report containing the followings: Date of finish BAD O GYEK 1. 2. Early start and Slack time for each activity 3. Resource histogram 4. Cumulative Budget baseline curve 5. Interpret the final report co Table Q3 Duration (Hrs) No of Workers Budget Activity predecessor A None 48 12000 64 32000 C 16 10000 32 4. 12000 B,C 32 8000 B,C 16 6000 G B,C 16 4 10000 H. 64 16000 3. 16 4000 32 1 12000 K 32 3 16000 H. 48 1 12000 Total Budget of RM150000Jamison Day Consul tants has been entrusted with thetask of evaluating a business plan that has been divided into foursections- marketing, finance, operations, and human resources.Chris, Steve, Juana, and Rebecca form the evaluation team. Each of them has expertise in a certain field and tends to finish thatsection faster. The estimated times taken by each team memberfor each section have been outlined in the following table. Furtherinformation states that each of these individuals is paid $60/hour.a) Assign each member to a different section such that JamisonConsultants's overall cost is minimized.b) What is the total cost of these assignments?
- 2:30 PM ě 0.3KB/s 1ll 54 4G+ 00:15:12 Remaining Multiple Choice The primary difference between PERT and CPM is that CPM uses probabilities on the activity times and PERT does not. O. PERT considers activity costs and CPM does not. PERT can assign probabilities to activity times and CPM does not. CPM considers activity costs and PERT does not. 5 of 20 II2-Al Madena Cements focus much on the quantity of resource consumed by each and every activity of the company to assign the cost of a resource to an activity or cost pool. The measure of the quantity of resource consumed by an activity.is known as: a. Resource cost driver b. Resource cost driver c. Cost Object d. None of the given optionsSuppose that you are assigned to a construction project which is planned to be build as early as possible. As a planning engineer you have to find the right sequence of activities in order to complete the project on time. Use Gantt (Bar) Chart and calculate total duration and determine the critical path of the project. Immediate Estimated Activity Predecessors Duration 2 weeks 4 weeks 10 weeks A 6 weeks 4 weeks S weeks 7 weeks 9 weeks 7 weeks 8 weeks G E, G F, 1 4 weeks 5 weeks 2 weeks 6 weeks K M K, L Immediate Predecessor (Finish to Start) Construct Gantt Chart of the project.