Math Problem Solver

The ordering and transportation cost C (in thousands of dollars) for machine parts is given by

C = 100

200

x2

+

x

x + 30

, x ≥ 1

where x is the order size (in hundreds). In calculus, it can be shown that the cost is a minimum when

3x3 − 40x2 − 2400x − 36,000 = 0.

Use a graphing utility to approximate the optimal order size to the nearest hundred units.