A company needs to develop a strategy for software product development for which it has a choice of two programming languages L1 and L2. The number of lines of code (LOC) developed using L2 is estimated to be twice the LOC developed with L1. The product will have to be maintained for five years. Various parameters for the company are given in the table below. Total cost of the project includes cost of development and maintenance. What is the LOC for L1 for which the cost of the project using L1 is equal to the cost of the project using L2? (A) 4000 (B) 5000 (C) 4333 (D) 4667

Let the number of lines of code for Language L1 be $L$. Then, the LOC for Language L2 is $2L$.

For Language L1:

• Man years needed for development: $\frac{L}{10000}$

• Development Cost: $\frac{L}{10000} \times 10,00,000 = 100L$

• Maintenance Cost for 5 years: $5 \times 1,00,000 = 5,00,000$

• Total Cost for L1: $\text{Cost}_{L1} = 100L + 5,00,000$

For Language L2:

• Man years needed for development: $\frac{2L}{10000} = \frac{L}{5000}$

• Development Cost: $\frac{2L}{10000} \times 7,50,000 = 150L$

• Maintenance Cost for 5 years: $5 \times 50,000 = 2,50,000$

• Total Cost for L2: $\text{Cost}_{L2} = 150L + 2,50,000$

Equating both costs:

Thus, the lines of code (LOC) for L1 is 5000 (Option B).