Problem $9$ on page $362$

Find $($and report$)$ the optimal order quantity $($EOQ$)$

Compute $($and report$)$ each of the following when using the EOQ as your order quantity:

Average # orders per year

Average time between orders $($in weeks, assuming $52$ weeks per year$)$

Average annual ordering cost

Average cycle stock inventory level

Average annual carrying cost on cycle stock

SHOW YOUR WORK AND CLEARLY LABEL YOUR ANSWERS

Average annual ordering $+$ carrying cost

Suppose we are able to reduce the fixed cost per order from $S=$$$50$ to $S=$$$20$ per order. Compute the new EOQ and all above quantities. Describe how the optimal order quantity and related values change if we can find a way to decrease the fixed cost per order $("$S$").$