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In the house-building network, what is the fastest possible time in which the house can be built?
A12 days
B26 days
C45 days
D38 days
Answer & Solution
Correct answer: D. 38 days
1. The fastest possible completion time for a project equals the length of its critical path.
2. The critical path is the longest chain of dependent activities running through the network.
3. Adding the times of all the tasks on that chain gives 38 days for the house.
4. No shorter finish is possible, because those tasks must run one after another.
5. The figure of 12 days is only the foundation plus the frame, which is a fraction of the chain.
6. Tasks off the critical path, such as installing appliances or roofing, add nothing to this total because they run in parallel with critical tasks.
_Source: OpenStax Introduction to Business (CC BY 4.0), Ch 10 "Achieving World-Class Operations Management", section The Big Picture: Critical Path Method and PERT_
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