A Software project was estimated at 864 Function Points. A six-person team will be assigned to project consisting of a requirement gathering person, one designer, two programmers and two testers. The salary of the designer is ₹70,000 per month, requirement gatherer is ₹50,000 per month, programmer is ₹60,000 per month and a tester is ₹60,000 per month. The average productivity for the team is 12 FP per person month. Which of the following represents the projected cost of the project?

Correct option is B

Let's go through the given details and calculation correctly based on the data:
1. Function Points (FP) = 864
2. Team members = 6 (1 requirement gatherer, 1 designer, 2 programmers, 2 testers)
3. Average productivity per person = 12 FP/person-month
4. Salaries:
o Designer = ₹70,000/month
o Programmer = ₹60,000/month (each)
o Tester = ₹60,000/month (each)
o Requirement Gatherer = ₹50,000/month
Step 1: Calculate the total number of months required for the project
To calculate the total number of person-months required for the project, we use the formula:
​$$\text{Total number of months} = \frac{\text{Functional Points (FP)}}{\text{Team size} \times \text{Average productivity per person}}$$​​
Substituting the values:
​$$\text{Total number of months} = \frac{864}{6 \times 12} = 12 \, \text{months}$$​​
Step 2: Calculate the total cost of the project
The total cost of the project is determined by the monthly salaries of all team members, multiplied by the total number of months (12 months).
​$$\text{Total project cost} = (\text{Designer salary} + 2 \times \text{Programmer salary} + 2 \times \text{Tester salary} + \text{Requirement gatherer salary}) \times 12$$​​
Substituting the values:
​$$\text{Total project cost} = (70,000 + 2 \times 60,000 + 2 \times 60,000 + 50,000) \times 12$$​​
​$$\text{Total project cost} = (70,000 + 120,000 + 120,000 + 50,000) \times 12$$​​
​$$\text{Total project cost} = 360,000 \times 12 = 43,20,000$$​​
Hence, the projected cost of the project is ₹43,20,000.