The Warren W. Fisher Computer Corporation purchases 8,000 transistors each year as components in minicomputers. The unit cost of each transistor is \($10,\) and the cost of carrying one transistor in inventory for a year is \($3.\) Ordering cost is \($30\) per order.
What are

(a) the optimal order quantity, 

(b) the expected number of orders placed each year, and 

(c) the expected time between orders? Assume that Fisher operates on a 200-day working year.