GATE | GATE-IT-2004 | Question 70

Assume that the delivered lines of code L of a software is related to the effort E in person months and duration t in calendar months by the relation L P* (E/B)1/3 * t4/3, where P and B are two constants for the software process and skills factor. For a software project, the effort was estimated to be 20 person months and the duration was estimated to be 8 months. However, the customer asked the project team to complete the software project in 4 months. What would be the required effort in person months?

 
(A) 10
(B) 40
(C) 160
(D) 320


Answer: (D)

Explanation:  

Given,

Initial Effort in Person, E1 = 20  and Initial time, T1 = 8 months
Final Effort in Person, E2 = ?
Final time, T2 = 4 months

Equating both equation, 

               P* (E1/B)1/3 * t1 (4/3) = P* (E2/B)1/3 * t2 (4/3)

      we get, E2 = 320.
This solution is contributed by Mohit Gupta.

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