question 4

QUESTION FOUR The network shows the activities that need to be undertaken to complete a project. Each activity is represented by an arc. The number in brackets is the duration of the activity in days.

The early and late event times are to be shown at each vertex and some have been completed for you. a. Calculate the missing early and late times. b. List the two critical paths for this network. c. Explain what is meant by a critical path. The sum of all the activity times is 110 days and each activity requires just one worker. The project must be completed in the minimum time. d. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working. e. List the activities that must be happening on day 20. f. Comment on your answer to part e with regard to the lower bound you found in part d. g. Schedule the activities, using the minimum number of workers, so that the project is completed in 30 days.

QUESTION FOUR The network shows the activities that need to be undertaken to complete a project. Each activity is represented by an arc. The number in brackets is the duration of the activity in days. The early and late event times are to be shown at each vertex and some have been completed for you. a. Calculate the missing early and late times. b. List the two critical paths for this network. c. Explain what is meant by a critical path. The sum of all the activity times is 110 days and each activity requires just one worker. The project must be completed in the minimum time. d. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working. e. List the activities that must be happening on day 20. f. Comment on your answer to part e with regard to the lower bound you found in part d. g. Schedule the activities, using the minimum number of workers, so that the project is completed in 30 days.

i have changed the question

QUESTKIN FOUR The works the titl ed to undertaken tople art . Each tivity is r esented by The hin t s is the ice of the activity in days. The early w e event times are to be the o n e have been completed for you EKEN N - - Yo Calle he l y analtime Lot the critical pattes for this twork plain what is meant by a critical path 6. wity is work. The The war of the activity times in 10 days project in the minimum in d Calculate a lower bound for the sum of wr e eded to complete the prect in the minime time. Yo w your working c. List the activities that be happening on day 20 C e your answer te pare with repand to the lower bound you found in part Schedule the activities, using the minimum number of wwers, that the project is complidays QUESTION HVE All the vides in this Gant channeqare one woker with the exception of D(2), 6(3), (4), (2) und (2) with every activity war w i e der af en raded h. L levellin d uce the number of ken meded. State the minima workomended if the project is in be completed in 18 days If the available weke is Swarken, hoe be the project can be completed with an QUESTION FOUR The network shows the activities that need to be undertaken to complete a project. Each activity is represented by an are. The number in brackets is the duration of the activity in days. The early and late event times are to be shown at each vertex and some have been completed for you. ACIO) E(4) H(9) BK PDI L(16) ca Key 1- L event time event time a. Calculate the missing early and late times. b. List the two critical paths for this network. c. Explain what is meant by a critical path. The sum of all the activity times is 110 days and each activity requires just one worker. The project must be completed in the minimum time. d. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working. e. List the activities that must be happening on day 20. f. Comment on your answer to part e with regard to the lower bound you found in part d. g. Schedule the activities, using the minimum number of workers, so that the project is completed in 30 days. QUESTION FOUR The network shows the activities that need to be undertaken to complete a project. Each activity is represented by an arc. The number in brackets is the duration of the activity in days. The early and late event times are to be shown at each vertex and some have been completed for you. ook DOV 10107 H (9 ) BAB 1015) 30 EK 1 Brass Early event time Late event time a. Calculate the missing early and late times. b. List the two critical paths for this network. c. Explain what is meant by a critical path. The sum of all the activity times is 110 days and each activity requires just one worker. The project must be completed in the minimum time. d. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working. e. List the activities that must be happening on day 20. f. Comment on your answer to parte with regard to the lower bound you found in part d. g. Schedule the activities, using the minimum number of workers, so that the project is completed in 30 days. dlate event times are to be shown at each vertex and some have been completed for you. (1) E(4) * H(9) A(10/ I15) J(15) III) Key Early event time Late event time DO It) A(10) (16) QUESTION FIVE All the activities in this Gantt chart require one worker with the exception of D(2), G(3), H(4),I(2) and K(2). Dv a. with every activity starting as early as possible. State the number of workers needed. b. Use resource levelling to reduce the number of workers needed. State the minimum workforce needed if the project is to be completed in 18 days. c. If the available workforce is 5 workers, show how the project can be completed with just one extra day. QUESTKIN FOUR The works the titl ed to undertaken tople art . Each tivity is r esented by The hin t s is the ice of the activity in days. The early w e event times are to be the o n e have been completed for you EKEN N - - Yo Calle he l y analtime Lot the critical pattes for this twork plain what is meant by a critical path 6. wity is work. The The war of the activity times in 10 days project in the minimum in d Calculate a lower bound for the sum of wr e eded to complete the prect in the minime time. Yo w your working c. List the activities that be happening on day 20 C e your answer te pare with repand to the lower bound you found in part Schedule the activities, using the minimum number of wwers, that the project is complidays QUESTION HVE All the vides in this Gant channeqare one woker with the exception of D(2), 6(3), (4), (2) und (2) with every activity war w i e der af en raded h. L levellin d uce the number of ken meded. State the minima workomended if the project is in be completed in 18 days If the available weke is Swarken, hoe be the project can be completed with an QUESTION FOUR The network shows the activities that need to be undertaken to complete a project. Each activity is represented by an are. The number in brackets is the duration of the activity in days. The early and late event times are to be shown at each vertex and some have been completed for you. ACIO) E(4) H(9) BK PDI L(16) ca Key 1- L event time event time a. Calculate the missing early and late times. b. List the two critical paths for this network. c. Explain what is meant by a critical path. The sum of all the activity times is 110 days and each activity requires just one worker. The project must be completed in the minimum time. d. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working. e. List the activities that must be happening on day 20. f. Comment on your answer to part e with regard to the lower bound you found in part d. g. Schedule the activities, using the minimum number of workers, so that the project is completed in 30 days. QUESTION FOUR The network shows the activities that need to be undertaken to complete a project. Each activity is represented by an arc. The number in brackets is the duration of the activity in days. The early and late event times are to be shown at each vertex and some have been completed for you. ook DOV 10107 H (9 ) BAB 1015) 30 EK 1 Brass Early event time Late event time a. Calculate the missing early and late times. b. List the two critical paths for this network. c. Explain what is meant by a critical path. The sum of all the activity times is 110 days and each activity requires just one worker. The project must be completed in the minimum time. d. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working. e. List the activities that must be happening on day 20. f. Comment on your answer to parte with regard to the lower bound you found in part d. g. Schedule the activities, using the minimum number of workers, so that the project is completed in 30 days. dlate event times are to be shown at each vertex and some have been completed for you. (1) E(4) * H(9) A(10/ I15) J(15) III) Key Early event time Late event time DO It) A(10) (16) QUESTION FIVE All the activities in this Gantt chart require one worker with the exception of D(2), G(3), H(4),I(2) and K(2). Dv a. with every activity starting as early as possible. State the number of workers needed. b. Use resource levelling to reduce the number of workers needed. State the minimum workforce needed if the project is to be completed in 18 days. c. If the available workforce is 5 workers, show how the project can be completed with just one extra day