Question

A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x tanks is
given by
C(x) = 50; 000 + 100x 0:01x2

Answer 1

Answer:

A company manufactures fuel tanks for automobile. The total weekly cost (in dollar) of producing x tank is given by

Answer 2

Answer:

A company manufactures fuel tanks for automobile. The total weekly cost (in dollar) of producing x tank is given by c(x)=1000+90x-0.05x^2

To find : c' (500) and c(500).

Solution:

C(x)=1000 + 90x - 0.05x²

C'(x) = 0 + 90 * 1 - 0.05 * (2x)

C'(x) = 90 - 0.1x

C(500) = 1000 + 90*500 - 0.05*(500)²