The cost in dollars to produce x shovels in a factory is given by the function C(x)=12x+450. The number of shovels that can be produced in h hours is given by the function N(h)=40h.

Question

1. Find the rule for C(N(h)).
2. Find the cost when h=8 hours.

Answer 1

c(x) = 12x + 450 and N(h) = 40h

C(N(h)) = 12 *(N(h)) + 450

= 12 * 40h + 450

= 480h + 450

Cost when h = 8 -> 480*8 + 450 = 4290