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GATE 2011 CS (CS1) – Question 15

Software Engineering · Software Development Life Cycle Models · 1 mark · Multiple choice

A product is maintained five years. With language L₁, development effort is LOC/10000 person-years, development cost ₹1000000 per person-year and maintenance ₹100000/year. L₂ needs twice L₁’s LOC, effort LOC/10000, development cost ₹750000/person-year and maintenance ₹50000/year. What L₁ LOC makes total costs equal?

  1. 4000
  2. 5000
  3. 4333
  4. 4667

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Show answer and explanation

Correct answer: (B) 5000

Explanation

Let L₁ length be N. Its total is 100N+5×100000. L₂ length is 2N, giving total 150N+5×50000. Equating yields 100N+500000=150N+250000, hence N=5000, B. Include both development and the five maintenance years.

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