QUESTION FOUR Solve the problems below: a) Minimize Z = X1 - 2X2-3X3 s.t -2X1 + X2 + 3X3 2X1 +3X2 + 4X3 X1, X2, X3 ≥ 0 = 2 = 1 b) Minimize Z = 4X1 - 3X2+7X3-X4 s.t 7X1 + 3X2 ≤ 400 5X1 +4X3 > 250 X1 +X4 = 43 X1, X2, X3, X4 20
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- Question: Consider the following linear program: Max Z = 2*x + 3*y subject to 3*x + 4*y >= 12 3*x + 2*y >= 9 y>= 1 x,y >= 0 The number of feasible corner points is: 0 1 2 3 None of the other answers are correct.Question 1 (b) A company is considering to invest in eight projects. The estimated cost of each project, the perceived priority points, the estimated number of new jobs each project would create are provided in the Table 1. Table 1 Project Cost ($) Priority Points New Jobs X1 X2 X3 X4 X5 X6 X7 X8 5000 4500 600 2000 6000 800 3200 2500 3176 2774 3513 2928 4607 862 3829 2708 5 1 2 1 3 1 7 2 1. Formulate objective function for this 0-1 integer model to maximise the total number of perceived priority points. Considering the above problem write down mathematical equations for each of following conditions/constraints. 2. A budget of $21000 is available for the projects. 3. The company wishes to fund at most three of the projects. 4. The company wants to create at least 8 new jobs from these projects.…Question 1 (b) A company is considering to invest in eight projects. The estimated cost of each project, the perceived priority points, the estimated number of new jobs each project would create are provided in the Table 1. Table 1 Project Cost ($) Priority Points New Jobs X1 X2 X3 X4 X5 X6 X7 X8 5000 4500 600 2000 6000 800 3200 2500 3176 2774 3513 2928 4607 862 3829 2708 5 1 2 1 3 1 7 2 4. The company wants to create at least 8 new jobs from these projects. 5. Only one of the two projects, i.e., X3 and X5 should be funded at this time but not both. 6. The company believes that if it decides to invest in project X7 then it should also invest in project X8, and vice versa. [DO NOT SOLVE THE ABOVE MODEL YOU DEVELOPED IN QUESTION 1 (b).…
- Which of the following is a linear program? Question 5 options: a. min 0.5x1+3x2 (0.99x1+x2)/x2≥2.7 x1−x2≤8 x1≥0 x2= free b. min 0.5x1+3x2 (0.99x1+x2)/x2≥2.7 x1−x2≤8 x1≥0 x2≥1.5 c. max 0.5x1+3x2 0.99x1+x2≥2.7 x1−x2<8 x1,x2≥0 d. min 0.5x1+3x2 x1+1.35x2=2.7 x1≥0 x2= freeQuestion1: Discuss the critical importance of work schedule in project management.2. Discuss the contribution of cost estimation in the completion of successful project.3. A firm is planning a project which consists of the following ten jobs and precedence relations are identified with their node numbers: Jobs (i-j) 1-2 1-3 2-3 2-4 2-5 3-5 4-7 5-6 6-7 7-8 Durations (days) 9 5 12 7 8 11 10 3 4 6 Draw an arrow diagram representing the project.b. Determine the critical pathc. What is the duration of the project?If a company wants to have a sports day at the resort where you work, with lunch followed by a dinner and casino night, with whom do they need to coordinate? Question 14 options: a) With the caterer and the sports complex manager. b) With the company contact, resort restaurant, and tennis pro. c) With the sales department, convention services, and banquet manager. d) With caterers, guest services, and the media manager.
- Question Scenario: Early one Monday morning in Jamaica, Susan, a Restaurant Manager starts getting ready for the morning’s work operations. She is particularly happy because tonight he has a date with Marvin, the new Chef that was recently hired. The problem, as Susan sees it, is that Roberta, another Restaurant employee has been just a little too friendly with Marvin lately and that really upsets Susan. Susan has redone the work schedule, assigning Roberta the clean-up shift in the night and cutting back on her hours of work. She is hoping that Roberta would simply quit and out of her way. However, that plan doesn’t seem to be working. Despite a lighter pay cheque and frequent reprimand through the disciplinary process of creating reasons to write to her about her conduct and performance. Roberta has decided to quit her studies due to her inability to fund her tuition. A few days later, Susan noticed Marvin and Roberta having lunch together in the staff dining room. Susan got furious…Question 1: According to the Columbia Accident Investigation Board, the root cause of the Columbia disaster was directly tied to Management’s unwillingness to adequately address the tradeoffs between the program’s conflicting goals of: Group of answer choices A) Cost, schedule, and safety B) Schedule, morale, and risk C) Safety, customer satisfaction, and schedule D) Cost, risk, and test flightsQuestion 5 The following game is played by 2 players Adam Jack Left Middle Right Up 1,2 3,5 2,1 Middle 0,4 2,1 3,0 Down -1,1 4,3 0,2 Solve the equilibrium for this game.
- Question 5The management of CDC Construction Pioneers have decided to build 900 new apartments in the Kasoa area due to the influx of immigrant workers into the country. Two Architectural Companies have provided building plans and technical schematics for the project. Management are happy with the proposals of both Standard apartment and Deluxe apartment. After investigating the steps involved in construction, management determined that each apartment complex built will require some resources. Management analysed each of the bids and concluded that if the plans of Standard apartment are built, it requires 0.7 days in foundation works, 0.5 days in the masonry, 1 day in finishing, and 0.1 days in painting works. Deluxe apartment will require 1 day in foundation works, 0.83 days in the masonry, 0.67 days in finishing, and 0.25 days in the painting works. Management estimate that, 630 days for foundation works, 600 days for masonry, 708 days for finishing and 135 days for 11painting works…QUESTION 1a. The following Table 1 (below) contains a list of activities, with precedence requirements andcrash costs for a project that is to be completed by Present Technologies Limited (PTL).Table 1Activity PredecessorActivityorActivitiesNormalTime(days)CrashTime (days)Normal Cost ($)Crash Cost ($)A __ 2 1 1,000 2,000B __ 7 4 800 4,300C __ 5 3 2.000 7,000D B, C 4 3 1.500 2,750E A 6 2 1.250 15,250F B, E 7 2 2,500 10,000G D 6 3 2,000 8,000H F, G 3 1 4,000 10,000 (ii) You are PTL’s Project Manager for this project and you have been asked to reduce theproject completion time by three (3) days. Assume a linear cost per week shortened, and showstep by step, how you arrived at your answer? Please assist me in answering this question above.QUESTION 1a. The following Table 1 (below) contains a list of activities, with precedence requirements andcrash costs for a project that is to be completed by Present Technologies Limited (PTL).Table 1Activity PredecessorActivityorActivitiesNormalTime(days)CrashTime (days)Normal Cost ($)Crash Cost ($)A __ 2 1 1,000 2,000B __ 7 4 800 4,300C __ 5 3 2.000 7,000D B, C 4 3 1.500 2,750E A 6 2 1.250 15,250F B, E 7 2 2,500 10,000G D 6 3 2,000 8,000H F, G 3 1 4,000 10,000 (iii) Prepare a Project Completion Schedule, which includes the incremental cost and thetotal cost of crashing? Please answer this question above.
