Differential EquationHard
Question
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 
. If the firm employs 25 more workers, then the new level of production of items is :
. If the firm employs 25 more workers, then the new level of production of items is :Options
A.2500
B.3000
C.3500
D.4500
Solution
P = 100x - 12x2/3 (2/3) + C
x = 0, P = 2000
C = 2000
p(x = 25) = 2500 - 1000 + 2000 = 3500
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