Please answer ALL questions and sub questions for Question 13. PLEASE do not leave out any questions and please ensure the working is correct and not blurry Please use the Critical Path strategies

Question 13 (a) Limbo Technologies Ltd manufactures laptops for commercial use. The company is at present contemplating production of laptops specifically for secondary school students in Trinidad and Tobago The activities necessary to build an experimental model and related data are given in the table below NORMAL COST ($) CRASH COST ($) ACTIVITY PREDECESSOR NORMAL TIME (WEEKS) 4 B 6 A 3 D A,B 6 E D 4 F 4 G D 3 H F.GE 2 CRASH TIME (WEEKS) 2 3 1 5 2 3 2 1 1000 3000 2500 1500 3500 2250 1900 400 1600 3500 3000 1850 4200 3000 2500 500 1) Draw the network diagram and state the project completion time ii) Crash the project to 13 weeks iii) What would be the total cost of the project? iv) Draw a Gantt chart to show the project activities 151 141 121 121 (b) Limbo Technologies has embarked on another project that has an estimated completion time of 40 weeks and a standard deviation of 5 weeks. It is estimated that the project completion time is normally distributed 1) What is the probability of finishing the project in 38 weeks or less? ii) The due date for the project is set so that there is a 90% chance that it will finish by this date. What is the due duration? 121