If a software project has 2000 lines of code (LOC) and the average productivity rate is 10 LOC per person-hour, how many person-hours are required to complete the project ?
200
Productivity is the size of the product delivered per unit of effort. When productivity is expressed in LOC per person-hour, the effort needed is the size divided by the productivity.
Step 1 — \(\text{Effort} = \dfrac{\text{Size}}{\text{Productivity}}\).
Step 2 — \(\text{Effort} = \dfrac{2000\ \text{LOC}}{10\ \text{LOC per person-hour}} = 200\) person-hours.
100 person-hours would correspond to 20 LOC per person-hour, 150 to about 13.3 LOC per person-hour and 250 to 8 LOC per person-hour; none of these matches the given rate of 10 LOC per person-hour.
200 option is correct.
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