If a cost function is C(x) = (1000 ln x)/ (100-3x)^1/2, find the marginal cost when x=25.

Question

A cost function

Answer 1

C'(x) = (100-3x)^1/2(100/x) - 100lnx(100-3x)^-1/2(-3x) all over (100-3x)

C'(25)= marginal cost when x= 25

= 4sqr75 - 100ln25/sqr75 all over 25

=about 1.386 - 1.171 = 0.215

Marginal Cost = 0.215