Question

24) The cost in millions of dollars for a company to manufacture x thousand automobiles is given by

the function C(x) = 3x^2 - 30x + 200. Find the number of automobiles that must be produced to
minimize the cost.
A) 15 thousand automobiles
C) 5 thousand automobiles
B) 125 thousand automobiles
D) 10 thousand automobiles

Answer 1

For minima,

C'(x) = 0

6x-30 = 0

x = 5

If C"(x) >0, then minima

So, C"(x) = 6 > 0

So, for x = 5 , thr value of C(x) will be minimum.

Option C is correct