Consider a popular hamburger franchise with golden arches. The total cost (in dollars) of producing x thousand hamburgers might be

C(x)=18000+50x-0.06x^2

(a) Find the exact cost of producing just the 6,001st burger.

Exact cost = __________ dollars [Hint: be careful with the units!]

(b) Use linear approximation to estimate the additional cost of producing the 6,001st burger.

Approx. cost = __________ dollars