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Q.

At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dpdx=10012x . If the firm employs 25 more workers, then new level of production of items is

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a

2500

b

3000

c

3500

d

4500

answer is C.

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Detailed Solution

dpdx=10012xdp=(10012x)dx; Integrate then we get P=100x-1223x32+c;   when x=0 then P=2000 we will get c=2000;   P= 100x-8x32+2000;   now x=25 , then P=2500-1000+2000=3500 

 

Integrating and apply the given conditions

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