The annual inventory cost C for a manufacturer is C = 1,008,00/Q + 6.3Q where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 350 to 351, and compare this with the instantaneous rate of change

when Q = 350.

1 answer

differential

∆C/∆Q = C(351)-C(350) = (1008000/351 + 6.3*351)-(1008000/350 + 6.3*350) = -1.90512

dC/dq = 6.3 - 1008000/Q^2 = -1.92857