The ordering and transportation cost C for components used in a manufacturing process is approximated by C(x) = 10 (1/x + x/ (x+3)) where C is measured in thousands of dollars and x is the order size in hundreds.
(a) Verify that C(3) = C(6).
(b) According to Rolle’s Theorem, the rate of change of the cost must be 0 for some order size in the interval (3, 6). Find the order size.