function point is given as 100 in the question, than why we have used 1000 * 50 for KLOC, I think it has to be 100*50 ?

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A software company needs to develop a project that is estimated as $1000$ function points and is planning to use JAVA as the programming language whose approximate lines of code per function point is accepted as $50$. Considering $a=1.4$ as multiplicative factor, $b=1.0$ as exponention factor for the basic COCOMO effort equation and $c=3.0$ as multiplicative factor, $d=0.33$ as exponention factor for the basic COCOMO duration equation, approximately how long does project take to complete?

- $11.2$ months
- $12.2$ months
- $13.2$ months
- $10.2$ months

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For basic COCOMO model

E effort =a (KLOC)^{b } in person months

Here a=1.4 b=1.0 total loc=1000x50=50000=50 KLOC

so E=1.4x50=70