Alfred operates a factory that manufactures bread and cakes. One of the major raw materials used is organic maize, which he buys for $5 per kilogram. The factory operates for 350 days each year. The following information has been provided:

Annual usage of maize

80 000 kilograms

Average time between placing and receiving order

4 days

Estimated cost of ordering and receiving inventory (per order)

$8

Estimated annual cost of carrying a kilogram of maize in stock

$0.50

(a)economic order quantity (EOQ) (7 marks)

(b)number of orders per year. (3 marks)