''Kriegsmarine have uniform demand of 1250 Type X marine engines per quarter. Each engine is delivered in a crate occupying 100 cubic meters of space. The warehouse of the "Kriegsmarine" has a holding capacity of 5000 cubic meters. The ordering cost is 10 $ per annum, per engine.

a)Calculate the maximum size, and cost of the order that may be placed under present conditions.

b)"Kriegsmarine" have decided to expand their warehouse . How much should they expand?

c)If the cost of expansion is 1000 $, how many years would it take to cover this cost by savings achieved in the total cost?