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Month Stage Cost(Rs. '000 per man-month)
$1-2$ Specification $40$
$3-4$ Design

$20$

$5-8$ Coding

$10$

$9-10$ Testing

$15$

$11-15$ Maintenance $10$

The number of people employed in each month is:

 Month No. of people employed $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$ $14$ $15$ $2$ $3$ $4$ $3$ $4$ $5$ $5$ $4$ $4$ $1$ $3$ $3$ $1$ $1$ $1$

Which five consecutive months have the lowest average cost per man-month under the new technique?

1. $1-5$
2. $9-13$
3. $11-15$
4. None of the these

edited | 89 views

Here, new technique refers to the design stage is performed in $3,4, \& \hspace{0.1cm} 5^{th} month$ & in the $5^{th}$ month $5$ people are working on the design stage. And the coding stage was finished in $6^{th} - 8^{th}$ months.

The new table will be look like:

Month Stage Cost(Rs. '000 per man-month)
$1-2$ Specification $40$
$3-5$ Design

$20$

$6-8$ Coding

$10$

$9-10$ Testing

$15$

$11-15$ Maintenance $10$

The number of people employed in each month is:

 Month No. of people employed $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$ $14$ $15$ $2$ $3$ $4$ $3$ $5$ $5$ $5$ $4$ $4$ $1$ $3$ $3$ $1$ $1$ $1$

We can clearly see that, the maintenance stage has the lowest average cost per man-month .

In the $1-5$ month span,

average cost per man-month in $1-2$ month is $40,000$

average cost per man-month in $3-5$ month is $20,000$

So, average cost per man-month in $1-5$ month is = $\dfrac{(40,000+20,000)}{2} = 30,000$

In the $9-13$ month span,

avg. cost per man-month in $9-10$ month is $15,000$

avg. cost per man-month is $10-13$ month is $10,000$

So, avg. cost per man-month in $9-13$ month is $\dfrac{(15,000+10,000)}{2} = 12,500$

In the $11-15$ month span, average cost per man-month is $10,000$

So, the $11-15$ month span will be having lowest average cost per man-month under the new technique.

Answer is option C)

by (2.5k points) 5 9 18
edited