$11\mathrm{.}1$ A product used in a laboratory of a hospital costs $$60$ to order, and

its carrying cost per item per week is one cent. Demand for the item is

six hundred units weekly. The lead time is three weeks and the

purchase price is $$0\mathrm{.}60.$

$1.$ What is the economic order quantity for this item?

$2.$ What is the length of an order cycle?

$3.$ Calculate the total weekly costs.

$4.$ What is the investment cost for this item?

$5.$ If ordering costs increase by $50$ percent, how would that affect

EOQ?

$6.$ What would be the reorder point for this item if no safety stocks

were kept?

$7.$ What would be the reorder point if one thousand units were kept

as safety stock?