The cost C in dollars of producing x yards of a certain fabr

The cost C in dollars of producing x yards of a certain fabric is given by the function C(x) = 1500 + 2x + 0.05x^2 + 0.0002x^3. (a) Find C(10) and C(100). C(10) = C(100) = (b) Find C(0). (This number represents the fixed cost.) C(0) =

Solution

A.

C(10) = 1500+ 2(10) + 0.05(10)^2 + 0.002 (10)^3

C(10)= 1500+ 20+5+2 = 1527

C(100)=1500+ 2(100) + 0.05(100)^2 + 0.002 (100)^3

C(100) = 1500+ 200+ 500+ 2000 = 4200

B.

C(0) = 1500+ 2(0) + 0.05(0)^2 + 0.002 (00)^3

C(0) = 1500