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A simple stand - alone software utility is to be developed in ’C’ programming by a team of software experts for a computer running Linux and the overall size of this software is estimated to be 20,000 lines of code. Considering (a, b) = (2.4, 1.05) as multiplicative and exponention factor for the basic COCOMO effort estimation equation and (c, d)=(2.5, 0.38) as multiplicative and exponention factor for the basic COCOMO development time estimation equation, approximately how long does the software project take to complete ?  

A simple stand - alone software utility is to be developed in ’C’ programming by a team of software experts for a computer running Linux and the overall size of this software is estimated to be 20,000 lines of code. Considering (a, b) = (2.4, 1.05) as multiplicative and exponention factor for the basic COCOMO effort estimation equation and (c, d)=(2.5, 0.38) as multiplicative and exponention factor for the basic COCOMO development time estimation equation, approximately how long does the software project take to complete ?   Correct Answer 11.52 months

The correct answer is option 2.

Data:
Lines of code(LOC)=20,000(or 20K)
Multiplicative value 'a' = 2.4
Exponential 'b' = 1.05

Multiplicative value 'c' = 2.5
Exponential 'd' = 0.38

Formula:
Basic COCOMO formula = a × (LOC in K)b

Development = c × (basic COCOMO result)d
Step 1:

Basic COCOMO formula = a × (LOC in K)b
                                        = 2.4 × (20)1.05
                                        = 55.756
Step 2:

Develoment  = c × (basic COCOMO result)d
                     = 2.5(55.756)0.38
                     =11.52 months

Hence the correct answer is 11.52 months.

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