Total vehicles per week 300000 250000 200000 150000 100000 50000 Total weekly traffic. 2020 Site 2103:...

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Total vehicles per week 300000 250000 200000 150000 100000 50000 Total weekly traffic. 2020 Site 2103: SH1 Mt Wellington Hwy Interchange NB (55) Week numbers Light: Heavy TABLE A2.6 Red Zuma Project Resources Marketing specialist Design engineer Development engineer Industrial engineer Purchasing agent Test rider $80,000/yr $125,000/yr $110,000/yr $100,000/yr $75,000/yr $70/hr Note: MS Project considers resources in terms of percentages with one full-time worker being 100%. Pg 5 Number available 4 4 4 4 2 4 TABLE A2.8 Red Zuma Project Update 1 2 3 4 5 6 7 8 9 10 11 12 13 Task Name 1 Red Zuma 1.1 Market Analysis 1.2 Product Design 1.3 Manufacturing Study 1.4 Product Design Selection 1.5 Detailed Marketing Plan 1.6 Manufacturing Process 1.7 Detailed Product Design 1.8 Build Prototypes 1.9 Lab Test Prototypes 1.10 Field Test Prototypes 1.11 Finalized Product Design Act. Start 1.12 Final Manufacturing Process Fri 1/9/15 Fri 1/9/15 Fri 2/13/15 Fri 2/13/15 Thu 4/2/15 Pg 10 Mon 4/20/15 Wed 6/10/15 Act. Finish Thu 2/12/15 Wed 4/1/15 Fri 3/6/15 Fri 4/17/15 Wed 6/24/15 % Comp. 46% 100% 100% 100% 100% 0% 0% 100% 39% 0% 0% 0% 0% Phys. % Comp. 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% Act. Dur. 125.85 days 25 days 35 days 16 days 13 days 0 days 0 days 49 days 9 days 0 days 0 days 0 days 0 days Rem. Dur. 146.4 days 0 days 0 days 0 days 0 days 15 days 30 days 0 days 14 days 10 days 15 days 20 days 10 days Problem Statement 3 Assume a car is moving along a curved road represented by y = e-/4 on a 2D surface (distance unit = km). The car started moving with constant speed from (-6,0) and stops at (6,0). If it takes 10 mins for the car to reach the stop, using trapezoidal rule of integration, determine the followings. D y f(x) = x 2/4 A (-6,0) B fl The total distance ABCDE traversed by the car The average speed of the car. Hint: The length of a curve y = f(x) from point P (, ) to P (22, 32) can be found as, 2 dy = [ + ( 12 ) dx 21 E [11 L1-2 = (6,0) x ID 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Task Name 1 Red Zuma Project 1.1 Market Analysis 1.2 Product Design 1.3 Manufacturing Study 1.4 Product Design Selection 1.5 Detailed Marketing Plan 1.6 Manufacturing Process 1.7 Detailed Product Design 1.8 Build Prototypes 1.9 Lab Test Prototypes 1.10 Field Test Prototypes 1.11 Finalized Product Design 1.12 Final Manufacturing Process 1.13 Order Components 1.14 Order Production Equipment Pg2 Duration 260 days 25 days 30 days 20 days 10 days 15 days 30 days 45 days 25 days 10 days 15 days 20 days 10 days 7 days 14 days. Predecessors 2 2 3,4 5 5 5 8 9 9 7,10,11 12 12 13 Problem Statement 4 Write down the mesh equations of the following AC circuit and solve it for the loop currents. Use Gauss Jordan Elimination method to extract the solution. 0.292 j1 240/130 V www 0.292 jl Q 240/10V jlQ 0.2 2 0.62 10.5 2 wwwm 0.62 j0.5 2 www 240/-110 V 0.62 0.52 wwwm 30 2 --/20 2 30 52 -/2002 30 2 --/20 2 Python to solve the Problem Statement 2, 3 and 4 and must provide the necessary codes used to solve the problems and report the generated necessary plots (if any) and results. Calculations should be done with minimum 10 digits of significance. 12 13 14 15 16 17 1.11 Finalized Product Design 1.12 Final Manufacturing Process 1.13 Order Components 1.14 Order Production Equipment 1.15 Install Production Equipment 1.16 Celebrate 5. What is the estimated completion date? 6. How is the project doing terms f prioriti (see Part 1)? 0% Report and interpret relevant Earned Value metrics in your report. Include a Tracking Gantt chart as well as an Earned Value Table with your memo. 0% 0% 0% 0% Submit a professional status report to Robin Lane that addresses the following questions: 1. How is the project progressing in terms of cost and schedule? 2. What activities have gone well? What activities have not gone well? 3. How much of the project has been accomplished (PCIB)? 4. What is the forecasted cost at completion (EAC)? 0% 0% 0% 0% 0% 0% 0% Pg 11 0 days 0 days 0 days 0 days 0 days 0 days 20 days 10 days 7 days 14 days 35 days 1 days Red Zuma Project The ARC Company specializes in developing and selling a wide range of high-quality scooters. Sales representatives report that there is a growing demand for racing scooters. ARC's president, Robin Lane, is excited about the possibilities and predicts that one day these kinds of razor scooters will be featured in X-Game events. ARC is a small company and uses a strong matrix to optimally utilize limited manpower. The Project Priority Matrix for the Red Zuma Project is: Pg1 Constrain Enhance Accept Time TABLE A2.5 Red Zuma: Project Schedule X Scope X Cost X Page 644 Part 1 You are a member of a project team assigned to develop the new razor scooter code named "Red Zuma." Table A2.5 contains the information necessary to create a project schedule. For the purpose of this case assume the following: Include the following printouts: . A Gantt chart. A network diagram highlighting the critical path. . A schedule table reporting ES, LS, EF, LF, and slack for each activity. Part 2 The following personnel have been assigned full-time to the Red Zuma project team: 4 marketing specialists 4 design engineers 4 development engineers 4 industrial engineers. 4 test riders 2 purchasing agents Use the file from Part 1 and the information contained in Tables A2.6 and A2.7 to assign resources to the project schedule. TABLE A2.6 Red Zuma Project Resources Pg 4 Task Name Red Zuma Project Market Analysis Product Design Manufacturing Study Product Design Selection Detailed Marketing Plan Manufacturing Process Detailed Product Design Build Prototypes Lab Test Prototypes Field Tests Finalized Product Design Final Manufacturing Process Order Components Resource Names Pg 6 Marketing Specialist [400% ] Marketing Specialist, Design Engineer [400% ] , Development Engineer [200% ], Industrial Engineer, Purchasing Agent Industrial Engineer [400%], Development Engineer [200%] Marketing Specialist [200% ], Design Engineer [300% ], Development Engineer [200% ], Industrial Engineer [200%], Purchasing Agent Marketing Specialist [400% ] Design Engineer, Development Engineer [200% ], Industrial Engineer [300%] Marketing Specialist [200% ], Design Engineer [400% ], Development Engineer [200% ], Industrial Engineer [200%], Purchasing Agent Design Engineer [200%], Development Engineer [200% ], Industrial Engineer [400%] Design Engineer [200%], Development Engineer [200%], Test Rider Marketing Specialist, Design Engineer [200%], Development Engineer, Industrial Engineer, Test Rider [300%] Marketing Specialist [200% ], Design Engineer [300%], Development Engineer [300% ], Industrial Engineer [200%], Purchasing Agent Industrial Engineer [300%], Design Engineer, Purchasing Agent [25%] Purchasing Agent 4 Problem Statement 2 The motion of a damped vertical spring system with a sudden inclusion of the mass is described by the following ordinary differential equation: d'y(t) dy(t) m- dt - + dt + ky(t) = mg; t20 = 5kg where y(t) = displacement of the mass from the equilibrium position, t = time (s), m = mass, and c = the damping coefficient (Ns/m). Assume, the damping coefficient c takes on three values of 2.5 (under-damped), 20 (critically damped), and 100 (over-damped). The spring constant k = 20 N/m and the acceleration due to gravity, g = 9.81 ms. The initial displacement and the initial velocity both are zero (the spring was at rest before the inclusion of the 'mg' weight on it). Solve this equation using RK-4 method over the time period 0 t 40s. Plot the displacement versus time curves for each of the three values of the damping coefficient on the same curve. Also plot the velocity versus time curves in the similar manner. Estimate the peak value, peak time, rise time, overshoot and the final value of the displacement curves for each values of c. [Hints: If there is no oscillation found in the curve, overshoot will be zero, and the peak value and peak time will be undefined. However, by definition, the overshoot is, Peak Value - Final Value Overshoot = x 100% Final Value However, rise time is defined as the time required for the curve to reach the 90% of its final value from the 10% of its final value.] Problem Statement 1 The newly designed Raptor Rocket Engine by "SpaceX" utilizes liquid methane (CH(1)) as the propellant and liquid oxygen (O(1)) as the oxidizer. The thrust produced by the Raptor is related to the flow rate of the propellant and the oxidizer. An experimental observation is carried out by taking different mixtures of the propellant (P) and oxidizer (X) and the Net Thrust (T) is recorded for different settings. The observed data is as follows: Propellant Flow Rate Oxidizer Flow Rate (P, kg/sec) (X, kg/sec) 100 550 110 570 120 590 130 610 140 630 150 650 670 690 710 730 160 170 180 190 Net Thrust (T, KN) 1650 1810 1975 2140 2305 2470 2635 2800 2970 3140 (a) As an Engineer tasked to do the calculations, establish a relationship between the net thrust (T) and the propellant/oxidizer (P and X) flow rates using a proper numerical method from the above data. Estimate the standard error of your model to verify that your relationship is optimal. [Hints: The relationship might be either Linear i.e., have the form: y = ao+a121 +222 or the relationship might have an exponential form: y = dori2 or might have the quadratic form: y = ao + a1 + ax1x2 + 3x (b) The existing turbo pumps at SpaceX can hypothetically produce a maximum O(1) flow rate of 900 kg/sec and CH4 (1) flow rate of 250 kg/sec. Without going on to the test bench again, can you utilize your obtained relationships in the previous step to predict the Net Thrust at the Maximum Settings of the turbo pumps? (c) Model the system using another mathematical model you have not used in (a). Repeat (b) for the new model and report the percent deviation of the result. rogram for calculations should be done using minimum 3 digits of significance. Include a Gantt chart with a schedule table displaying free and total slack for the new schedule. Note: Do not assign new personnel to specific tasks, simply add them to the Resource Sheet. All new personnel are available full time (100%). At first glance-this appears to be a very complicated, difficult assignment, but if you enter the information correctly, the computer is able to generate the answers with Part 3 Top management has accepted the schedule created at the end of Part 2. Prepare a brief memo that addresses the following questions: 1. How much will the project cost? What is the most expensive activity? 2. What does the cash flow statement tell you about how costs are distributed over the life span of the project? Include a monthly cash flow for the project. Once you are confident that you have the final schedule, save the file as a baseline. Hint: Save a backup file just in case without baseline! Part 4 Part A Page 648 Pg 9 Today's date is July 8, 2015, the milestone date for the completion of the Prototype. You are charged with preparing a status report for top management. Table A2.8 summarizes progress on the Red Zuma project. TABLE A2.8 Red Zuma Project Update Part B You have told Robin Lane that based on what you know now you need to revise the estimates for some of the remaining activities. Page 649 Finalized Product Design is expected to take 3 days longer than planned. Final Manufacturing Process is expected to take 2 days less than planned, while Install Production Equipment is now expected to take only 30 days. You also report that Detailed Marketing plan will be completed before the end of the New Year. She is insisting that the project be completed by January 17th in order to be ready for the Las Vegas show. She is willing to spend $50,000 from Management Reserves to expedite shipping if necessary. $25,000 would reduce the shipping of components by 5 days and/or $25,000 would reduce the shipping of manufacturing parts by 5 days (Hint: Adjust lag). Prepare a memo to Robin that addresses the following questions: 1. What is the impact of the revised estimates for Finalized Product Design and Install Production Equipment on the project schedule and cost? 2. Would you recommend authorizing the expenditure of $50,000? Explain. Pg 12 3. What, if any other recommendations, would you make so that the project can achieve Robin's deadline? Justify your recommendations. Include a Tracking Gantt chart with variance schedule that depicts your final recommendations and revised schedule. Hint: After adjusting the Installation of Production Equipment and Finalized Product Design, level outside of slack to eliminate any resource over allocation problems. Field Tests Finalized Product Design Final Manufacturing Process Order Components Order Production Equipment Install Production Equipment Celebration Marketing Specialist, Design Engineer [200%], Development Engineer, Industrial Engineer, Test Rider [300% ] Marketing Specialist [200%], Design Engineer [300%], Development Engineer [300% ], Industrial Engineer [200%], Purchasing Agent Industrial Engineer [300% ], Design Engineer, Purchasing Agent [25%] Purchasing Agent Purchasing Agent Design Engineer, Development Engineer [300% ], Industrial Engineer [400%] Design Engineer [400%], Development Engineer [400%], Industrial Engineer [400% ] , Marketing Specialist [400%], Purchasing Agent Pg 7 Note: Resource assignments without brackets are 100%. Part A Prepare a memo that addresses the following questions: 1. Which if any of the resources are overallocated? 2. Assume that the project is time constrained and try to resolve any overallocation problems by leveling within slack. What happens? 3. What is the impact of leveling within slack on the sensitivity of the network? Page 646 Include a Gantt chart with the schedule table after leveling within slack. 4. Assume that the project is resource constrained and no additional personnel are available. How long will the project take given Page 647 the resources assigned? (Hint: Undo leveling performed in Part A before answering this question.) Note: No splitting of activities is allowed. 15 16 17 1.14 Order Production Equipment 1.15 Install Production Equipment 1.16 Celebrate 14 days 35 days 3. Which activity has the greatest amount of slack? 4. How sensitive is this network? 5. Identify two sensible milestones and explain your choices. . 1 days Include the following printouts: A Gantt chart. A network diagram highlighting the critical path. 13 Note: FS refers to a Finish-to-Start lag. 1. The project begins January 2, 2015. 2. The following holidays are observed: January 1, Martin Luther King Day (third Monday in January), Memorial Day (last Monday in May), July 4th, Labor Day (first Monday in September), Thanksgiving Day (4th Thursday in November), December 25. 14FS+20 days, 15FS+30 days 3. If a holiday falls on a Saturday, then Friday will be given as an extra day off, and if it falls on a Sunday, then Monday will be given as a day off. If December 25th falls on a Friday then Monday will not be given a day off. 4. The project team works eight-hour days, Monday through Friday. 6, 16 Construct a network schedule for this project and prepare a memo that answers the following questions: 1. When is the project estimated to be completed? How long will the project take? 2. What is the critical path for the project? Pg3 Page 645 U Note: No splitting of activities is allowed. 5. How does the new duration compare with the estimated completion date generated from Part 1? What does this tell you about the impact resources can have on a schedule? Include a Gantt chart with a schedule table displaying free and total slack depicting the resource-constrained schedule. Part B Top management is not happy with the resource-constrained schedule. Robin Lane, the president, has promised retailers that ARC will begin production in time for the major trade show in Las Vegas on January 22, 2016, which means the project needs to be completed by January 17, 2016. She has authorized working the first available Saturday of each month to help the project get completed sooner. She realizes that this will only reduce the project duration by 12-13 days. After talking to the engineers, everyone agrees that they do not have to wait for the Detailed Product Design to be 100% completed before starting to build the prototype. The consensus is that Building the Prototype can start 30 days after the start of the Detailed Product Design. Likewise the Final Manufacturing Process can start 15 days after the start of Finalized Product Design. Dewey Martin, director of product development, is also willing to add personnel to the project. He is willing to make available at least one more Development, Design, and/or Industrial Engineer to the project as well as Marketing Specialist. Since there is an acute shortage of personnel at ARC he requests that you only use additional manpower that will help meet the deadline. Your objective is to develop a schedule that will satisfy the deadline with minimum additional resource usage. Prepare a memo that addresses the following questions: Pg 8 1. What was the impact of introducing Start-to-Start lags to the schedule and budget? 2. Which, if any additional personnel assignments, would you choose to complete the project before the January 17th deadline? Explain your choices as well as the reasons for not choosing other options. 3. How have these changes affected the sensitivity of the network and the critical path? 4) Total vehicles per week 300000 250000 200000 150000 100000 50000 Total weekly traffic. 2020 Site 2103: SH1 Mt Wellington Hwy Interchange NB (55) Week numbers Light: Heavy TABLE A2.6 Red Zuma Project Resources Marketing specialist Design engineer Development engineer Industrial engineer Purchasing agent Test rider $80,000/yr $125,000/yr $110,000/yr $100,000/yr $75,000/yr $70/hr Note: MS Project considers resources in terms of percentages with one full-time worker being 100%. Pg 5 Number available 4 4 4 4 2 4 TABLE A2.8 Red Zuma Project Update 1 2 3 4 5 6 7 8 9 10 11 12 13 Task Name 1 Red Zuma 1.1 Market Analysis 1.2 Product Design 1.3 Manufacturing Study 1.4 Product Design Selection 1.5 Detailed Marketing Plan 1.6 Manufacturing Process 1.7 Detailed Product Design 1.8 Build Prototypes 1.9 Lab Test Prototypes 1.10 Field Test Prototypes 1.11 Finalized Product Design Act. Start 1.12 Final Manufacturing Process Fri 1/9/15 Fri 1/9/15 Fri 2/13/15 Fri 2/13/15 Thu 4/2/15 Pg 10 Mon 4/20/15 Wed 6/10/15 Act. Finish Thu 2/12/15 Wed 4/1/15 Fri 3/6/15 Fri 4/17/15 Wed 6/24/15 % Comp. 46% 100% 100% 100% 100% 0% 0% 100% 39% 0% 0% 0% 0% Phys. % Comp. 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% Act. Dur. 125.85 days 25 days 35 days 16 days 13 days 0 days 0 days 49 days 9 days 0 days 0 days 0 days 0 days Rem. Dur. 146.4 days 0 days 0 days 0 days 0 days 15 days 30 days 0 days 14 days 10 days 15 days 20 days 10 days Problem Statement 3 Assume a car is moving along a curved road represented by y = e-/4 on a 2D surface (distance unit = km). The car started moving with constant speed from (-6,0) and stops at (6,0). If it takes 10 mins for the car to reach the stop, using trapezoidal rule of integration, determine the followings. D y f(x) = x 2/4 A (-6,0) B fl The total distance ABCDE traversed by the car The average speed of the car. Hint: The length of a curve y = f(x) from point P (, ) to P (22, 32) can be found as, 2 dy = [ + ( 12 ) dx 21 E [11 L1-2 = (6,0) x ID 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Task Name 1 Red Zuma Project 1.1 Market Analysis 1.2 Product Design 1.3 Manufacturing Study 1.4 Product Design Selection 1.5 Detailed Marketing Plan 1.6 Manufacturing Process 1.7 Detailed Product Design 1.8 Build Prototypes 1.9 Lab Test Prototypes 1.10 Field Test Prototypes 1.11 Finalized Product Design 1.12 Final Manufacturing Process 1.13 Order Components 1.14 Order Production Equipment Pg2 Duration 260 days 25 days 30 days 20 days 10 days 15 days 30 days 45 days 25 days 10 days 15 days 20 days 10 days 7 days 14 days. Predecessors 2 2 3,4 5 5 5 8 9 9 7,10,11 12 12 13 Problem Statement 4 Write down the mesh equations of the following AC circuit and solve it for the loop currents. Use Gauss Jordan Elimination method to extract the solution. 0.292 j1 240/130 V www 0.292 jl Q 240/10V jlQ 0.2 2 0.62 10.5 2 wwwm 0.62 j0.5 2 www 240/-110 V 0.62 0.52 wwwm 30 2 --/20 2 30 52 -/2002 30 2 --/20 2 Python to solve the Problem Statement 2, 3 and 4 and must provide the necessary codes used to solve the problems and report the generated necessary plots (if any) and results. Calculations should be done with minimum 10 digits of significance. 12 13 14 15 16 17 1.11 Finalized Product Design 1.12 Final Manufacturing Process 1.13 Order Components 1.14 Order Production Equipment 1.15 Install Production Equipment 1.16 Celebrate 5. What is the estimated completion date? 6. How is the project doing terms f prioriti (see Part 1)? 0% Report and interpret relevant Earned Value metrics in your report. Include a Tracking Gantt chart as well as an Earned Value Table with your memo. 0% 0% 0% 0% Submit a professional status report to Robin Lane that addresses the following questions: 1. How is the project progressing in terms of cost and schedule? 2. What activities have gone well? What activities have not gone well? 3. How much of the project has been accomplished (PCIB)? 4. What is the forecasted cost at completion (EAC)? 0% 0% 0% 0% 0% 0% 0% Pg 11 0 days 0 days 0 days 0 days 0 days 0 days 20 days 10 days 7 days 14 days 35 days 1 days Red Zuma Project The ARC Company specializes in developing and selling a wide range of high-quality scooters. Sales representatives report that there is a growing demand for racing scooters. ARC's president, Robin Lane, is excited about the possibilities and predicts that one day these kinds of razor scooters will be featured in X-Game events. ARC is a small company and uses a strong matrix to optimally utilize limited manpower. The Project Priority Matrix for the Red Zuma Project is: Pg1 Constrain Enhance Accept Time TABLE A2.5 Red Zuma: Project Schedule X Scope X Cost X Page 644 Part 1 You are a member of a project team assigned to develop the new razor scooter code named "Red Zuma." Table A2.5 contains the information necessary to create a project schedule. For the purpose of this case assume the following: Include the following printouts: . A Gantt chart. A network diagram highlighting the critical path. . A schedule table reporting ES, LS, EF, LF, and slack for each activity. Part 2 The following personnel have been assigned full-time to the Red Zuma project team: 4 marketing specialists 4 design engineers 4 development engineers 4 industrial engineers. 4 test riders 2 purchasing agents Use the file from Part 1 and the information contained in Tables A2.6 and A2.7 to assign resources to the project schedule. TABLE A2.6 Red Zuma Project Resources Pg 4 Task Name Red Zuma Project Market Analysis Product Design Manufacturing Study Product Design Selection Detailed Marketing Plan Manufacturing Process Detailed Product Design Build Prototypes Lab Test Prototypes Field Tests Finalized Product Design Final Manufacturing Process Order Components Resource Names Pg 6 Marketing Specialist [400% ] Marketing Specialist, Design Engineer [400% ] , Development Engineer [200% ], Industrial Engineer, Purchasing Agent Industrial Engineer [400%], Development Engineer [200%] Marketing Specialist [200% ], Design Engineer [300% ], Development Engineer [200% ], Industrial Engineer [200%], Purchasing Agent Marketing Specialist [400% ] Design Engineer, Development Engineer [200% ], Industrial Engineer [300%] Marketing Specialist [200% ], Design Engineer [400% ], Development Engineer [200% ], Industrial Engineer [200%], Purchasing Agent Design Engineer [200%], Development Engineer [200% ], Industrial Engineer [400%] Design Engineer [200%], Development Engineer [200%], Test Rider Marketing Specialist, Design Engineer [200%], Development Engineer, Industrial Engineer, Test Rider [300%] Marketing Specialist [200% ], Design Engineer [300%], Development Engineer [300% ], Industrial Engineer [200%], Purchasing Agent Industrial Engineer [300%], Design Engineer, Purchasing Agent [25%] Purchasing Agent 4 Problem Statement 2 The motion of a damped vertical spring system with a sudden inclusion of the mass is described by the following ordinary differential equation: d'y(t) dy(t) m- dt - + dt + ky(t) = mg; t20 = 5kg where y(t) = displacement of the mass from the equilibrium position, t = time (s), m = mass, and c = the damping coefficient (Ns/m). Assume, the damping coefficient c takes on three values of 2.5 (under-damped), 20 (critically damped), and 100 (over-damped). The spring constant k = 20 N/m and the acceleration due to gravity, g = 9.81 ms. The initial displacement and the initial velocity both are zero (the spring was at rest before the inclusion of the 'mg' weight on it). Solve this equation using RK-4 method over the time period 0 t 40s. Plot the displacement versus time curves for each of the three values of the damping coefficient on the same curve. Also plot the velocity versus time curves in the similar manner. Estimate the peak value, peak time, rise time, overshoot and the final value of the displacement curves for each values of c. [Hints: If there is no oscillation found in the curve, overshoot will be zero, and the peak value and peak time will be undefined. However, by definition, the overshoot is, Peak Value - Final Value Overshoot = x 100% Final Value However, rise time is defined as the time required for the curve to reach the 90% of its final value from the 10% of its final value.] Problem Statement 1 The newly designed Raptor Rocket Engine by "SpaceX" utilizes liquid methane (CH(1)) as the propellant and liquid oxygen (O(1)) as the oxidizer. The thrust produced by the Raptor is related to the flow rate of the propellant and the oxidizer. An experimental observation is carried out by taking different mixtures of the propellant (P) and oxidizer (X) and the Net Thrust (T) is recorded for different settings. The observed data is as follows: Propellant Flow Rate Oxidizer Flow Rate (P, kg/sec) (X, kg/sec) 100 550 110 570 120 590 130 610 140 630 150 650 670 690 710 730 160 170 180 190 Net Thrust (T, KN) 1650 1810 1975 2140 2305 2470 2635 2800 2970 3140 (a) As an Engineer tasked to do the calculations, establish a relationship between the net thrust (T) and the propellant/oxidizer (P and X) flow rates using a proper numerical method from the above data. Estimate the standard error of your model to verify that your relationship is optimal. [Hints: The relationship might be either Linear i.e., have the form: y = ao+a121 +222 or the relationship might have an exponential form: y = dori2 or might have the quadratic form: y = ao + a1 + ax1x2 + 3x (b) The existing turbo pumps at SpaceX can hypothetically produce a maximum O(1) flow rate of 900 kg/sec and CH4 (1) flow rate of 250 kg/sec. Without going on to the test bench again, can you utilize your obtained relationships in the previous step to predict the Net Thrust at the Maximum Settings of the turbo pumps? (c) Model the system using another mathematical model you have not used in (a). Repeat (b) for the new model and report the percent deviation of the result. rogram for calculations should be done using minimum 3 digits of significance. Include a Gantt chart with a schedule table displaying free and total slack for the new schedule. Note: Do not assign new personnel to specific tasks, simply add them to the Resource Sheet. All new personnel are available full time (100%). At first glance-this appears to be a very complicated, difficult assignment, but if you enter the information correctly, the computer is able to generate the answers with Part 3 Top management has accepted the schedule created at the end of Part 2. Prepare a brief memo that addresses the following questions: 1. How much will the project cost? What is the most expensive activity? 2. What does the cash flow statement tell you about how costs are distributed over the life span of the project? Include a monthly cash flow for the project. Once you are confident that you have the final schedule, save the file as a baseline. Hint: Save a backup file just in case without baseline! Part 4 Part A Page 648 Pg 9 Today's date is July 8, 2015, the milestone date for the completion of the Prototype. You are charged with preparing a status report for top management. Table A2.8 summarizes progress on the Red Zuma project. TABLE A2.8 Red Zuma Project Update Part B You have told Robin Lane that based on what you know now you need to revise the estimates for some of the remaining activities. Page 649 Finalized Product Design is expected to take 3 days longer than planned. Final Manufacturing Process is expected to take 2 days less than planned, while Install Production Equipment is now expected to take only 30 days. You also report that Detailed Marketing plan will be completed before the end of the New Year. She is insisting that the project be completed by January 17th in order to be ready for the Las Vegas show. She is willing to spend $50,000 from Management Reserves to expedite shipping if necessary. $25,000 would reduce the shipping of components by 5 days and/or $25,000 would reduce the shipping of manufacturing parts by 5 days (Hint: Adjust lag). Prepare a memo to Robin that addresses the following questions: 1. What is the impact of the revised estimates for Finalized Product Design and Install Production Equipment on the project schedule and cost? 2. Would you recommend authorizing the expenditure of $50,000? Explain. Pg 12 3. What, if any other recommendations, would you make so that the project can achieve Robin's deadline? Justify your recommendations. Include a Tracking Gantt chart with variance schedule that depicts your final recommendations and revised schedule. Hint: After adjusting the Installation of Production Equipment and Finalized Product Design, level outside of slack to eliminate any resource over allocation problems. Field Tests Finalized Product Design Final Manufacturing Process Order Components Order Production Equipment Install Production Equipment Celebration Marketing Specialist, Design Engineer [200%], Development Engineer, Industrial Engineer, Test Rider [300% ] Marketing Specialist [200%], Design Engineer [300%], Development Engineer [300% ], Industrial Engineer [200%], Purchasing Agent Industrial Engineer [300% ], Design Engineer, Purchasing Agent [25%] Purchasing Agent Purchasing Agent Design Engineer, Development Engineer [300% ], Industrial Engineer [400%] Design Engineer [400%], Development Engineer [400%], Industrial Engineer [400% ] , Marketing Specialist [400%], Purchasing Agent Pg 7 Note: Resource assignments without brackets are 100%. Part A Prepare a memo that addresses the following questions: 1. Which if any of the resources are overallocated? 2. Assume that the project is time constrained and try to resolve any overallocation problems by leveling within slack. What happens? 3. What is the impact of leveling within slack on the sensitivity of the network? Page 646 Include a Gantt chart with the schedule table after leveling within slack. 4. Assume that the project is resource constrained and no additional personnel are available. How long will the project take given Page 647 the resources assigned? (Hint: Undo leveling performed in Part A before answering this question.) Note: No splitting of activities is allowed. 15 16 17 1.14 Order Production Equipment 1.15 Install Production Equipment 1.16 Celebrate 14 days 35 days 3. Which activity has the greatest amount of slack? 4. How sensitive is this network? 5. Identify two sensible milestones and explain your choices. . 1 days Include the following printouts: A Gantt chart. A network diagram highlighting the critical path. 13 Note: FS refers to a Finish-to-Start lag. 1. The project begins January 2, 2015. 2. The following holidays are observed: January 1, Martin Luther King Day (third Monday in January), Memorial Day (last Monday in May), July 4th, Labor Day (first Monday in September), Thanksgiving Day (4th Thursday in November), December 25. 14FS+20 days, 15FS+30 days 3. If a holiday falls on a Saturday, then Friday will be given as an extra day off, and if it falls on a Sunday, then Monday will be given as a day off. If December 25th falls on a Friday then Monday will not be given a day off. 4. The project team works eight-hour days, Monday through Friday. 6, 16 Construct a network schedule for this project and prepare a memo that answers the following questions: 1. When is the project estimated to be completed? How long will the project take? 2. What is the critical path for the project? Pg3 Page 645 U Note: No splitting of activities is allowed. 5. How does the new duration compare with the estimated completion date generated from Part 1? What does this tell you about the impact resources can have on a schedule? Include a Gantt chart with a schedule table displaying free and total slack depicting the resource-constrained schedule. Part B Top management is not happy with the resource-constrained schedule. Robin Lane, the president, has promised retailers that ARC will begin production in time for the major trade show in Las Vegas on January 22, 2016, which means the project needs to be completed by January 17, 2016. She has authorized working the first available Saturday of each month to help the project get completed sooner. She realizes that this will only reduce the project duration by 12-13 days. After talking to the engineers, everyone agrees that they do not have to wait for the Detailed Product Design to be 100% completed before starting to build the prototype. The consensus is that Building the Prototype can start 30 days after the start of the Detailed Product Design. Likewise the Final Manufacturing Process can start 15 days after the start of Finalized Product Design. Dewey Martin, director of product development, is also willing to add personnel to the project. He is willing to make available at least one more Development, Design, and/or Industrial Engineer to the project as well as Marketing Specialist. Since there is an acute shortage of personnel at ARC he requests that you only use additional manpower that will help meet the deadline. Your objective is to develop a schedule that will satisfy the deadline with minimum additional resource usage. Prepare a memo that addresses the following questions: Pg 8 1. What was the impact of introducing Start-to-Start lags to the schedule and budget? 2. Which, if any additional personnel assignments, would you choose to complete the project before the January 17th deadline? Explain your choices as well as the reasons for not choosing other options. 3. How have these changes affected the sensitivity of the network and the critical path? 4)

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if any of the resources are overallocated A The resources that are overallocated is marketing specia... View the full answer