Question

A Company has a choice of two languages L₁ and L₂ to develop a software for their client. Number of LOC required to develop an application in L₂, is thrice the LOC in language L₁. Also, software has to be maintained for next 10 years. Various parameters for two languages. are given below to decide which language should be preferred for development.

PARAMETER	L1	L2
Man-year needed for development	LOC/1000	LOC/1000
Development cost	Rs. 70,000	Rs. 90,000
Cost of Maintenance per year	Rs. 1,00,000	Rs. 40,000

 

Total cost of project include cost of development and maintenance. What is the LOC for L₁ for which cost of developing the software with both languages must be same ?

1. 2000
2. 6000
3. 3000
4. 5000

Answer 1

Correct Answer - Option 3 : 3000

The correct answer is option 3

Formula:

The total cost of the project = Total development cost + Total maintenance cost

Calculation:

Let p1 be the LOC using L1 and p2 be the LOC using L2.

Total cost of the project using L1 = (p1/1000) x 70,000 + (10 x 1,00,000) = 70p1 + 10,00,000

Total cost of the project using L2 = (p2/1000) x 90,000 + (10 x 40,000) = 90p2 + 4,00,000

Given that p2 = 3xp1

=>70p1 + 10,00,000 = 90p2 + 4,00,000

=>70p1 + 10,00,000 = 270p1 + 4,00,000

=> 200p1 = 6,00,000

=> p1 = 3000