Question

Cost is in dollars of producing x amount of things is
c(x) = 16000 +22.5x +0.004x^2
At what production level will cost be lowest?

Answer 1

when x = 0

so

C(0) = 16000 + 22.5(0) + 0.004(0)^2

= $16 000

Answer 2

The answer says 2000, anyone know why? Is it wrong?

Answer 3

I'm not sure, they must have used solved for a different x value @robtobey

Answer 4

you first need to find the first derivative of the cost c(x) with respect to the number of units x, then equate it to zero to optimize the number of units production for lowest costs

Answer 5

ans 2812.5 units