A finished MGT-440 Topic 4 critical path calculation example, with forward and backward passes, float on every activity and a 40-day critical path worked out from the arithmetic. Searches like "mgt 440 topic 4 assignment example", "mgt440 topic 4 sample" and "mgt-440 topic 4 example" land here.
What a finished MGT-440 Topic 4 critical path calculation looks like
The finished calculation shows every number that leads to the answer, all labeled illustrative. Six activities are listed with durations in working days and their predecessors: layout approval takes 5, build-out and cabling 20, furniture and phone ordering 15, network and telephony installation 10, furniture installation 5, and testing with cutover 5. Build-out carries a three-point estimate of 15, 19 and 29 days, which the weighted formula turns into 20. The forward pass produces early start and finish for each activity, the backward pass produces late dates, and float is the difference. Two paths emerge, 40 days through build-out and 30 through furniture. The example names the 40-day path as critical and notes that furniture ordering, the item everyone worries about, carries ten days of float.
How an MGT-440 Topic 4 example is structured
The calculation is laid out so each step can be checked against the one before. First comes the activity table: identifier, description, duration and predecessors, with finish-to-start dependencies stated as the assumption. A second part derives the build-out duration from its three-point estimate and shows the arithmetic. A third part draws the network as activity-on-node, with every dependency visible. A fourth part runs the forward pass, taking the latest predecessor finish wherever two paths merge, which is where most errors enter. A fifth part runs the backward pass from the project finish on day 40, taking the earliest successor start wherever paths split. A sixth part computes total float for each activity and identifies the zero-float path. The closing part tests the result by delaying furniture installation twelve days and showing the critical path move.
Dependencies stated before any dates
Each activity lists its predecessors and the finish-to-start assumption, because without those links a late task has no visible effect on anything downstream.
Build-out estimated on three points
Optimistic, most likely and pessimistic durations of 15, 19 and 29 days weight to 20, which shows how a long tail pulls the estimate upward.
Merge points taken at the latest finish
Testing cannot start until both network installation and furniture installation finish, so its early start is day 35, the later of the two.
Float computed on every activity
Late start minus early start gives zero along build-out and ten days along furniture, which identifies the critical path by arithmetic rather than intuition.
The result tested by a delay
Pushing furniture installation twelve days late exhausts its float, finishes the project on day 42 and shows the critical path shifting to the other branch.
Where marks go in MGT-440 Topic 4
Critical path work can be marked plainly wrong, and the errors are recognizable. A critical path named without forward and backward passes has been guessed, even when the guess happens to be right, because the rubric rewards derivation. Forward passes taking the earlier finish at a merge point understate the project duration, and every later date inherits the mistake. Backward passes taking the later start at a split produce float that does not exist. Calculations that treat the activity with the longest lead time as critical, rather than the longest path, confuse a worrying item with a controlling one, as the ten days of float on furniture ordering shows. Schedules with durations but no stated dependencies cannot be calculated at all. Papers that never test the result miss that a critical path can change.
Get an MGT-440 Topic 4 example written to your instructions
Send the MGT-440 Topic 4 instructions, the rubric for it and the activity list or case data the assignment supplies. We write a custom example to those criteria, with the network drawn, forward and backward passes shown, float computed for every activity and the critical path derived and tested, in 24 to 48 hours. The first one is free.
MGT-440 Topic 4 questions, answered
Is the critical path always the longest path?
Under the standard assumptions, yes: it is the longest sequence of dependent activities through the network, and it sets the shortest possible project duration. Activities on it carry zero total float when the project finish equals the calculated early finish. If a deadline is imposed earlier than that, float turns negative, which signals the schedule cannot be met as drawn.
What is the three-point estimate formula?
The weighted version commonly taught with PERT adds the optimistic estimate, four times the most likely and the pessimistic estimate, then divides by six. The example applies it to build-out, where 15, 19 and 29 days give 20. A simple average of the three is used in some texts instead, so check which one the course expects.
Why does a non-critical activity still matter?
Because float is a buffer, not a permission to ignore the work. Furniture ordering has ten days of float in the example, and a twelve-day supplier delay would make its path the longest and push the finish date out. Near-critical paths deserve monitoring, which is why the example reports float for every activity rather than only for the critical ones.