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Part $1$

Petromax Enterprises uses a continuous review inventory control system for one of its SKUs. The following information is available on the item. The firm operates $52$ weeks in a year. Refer to the standard normal tableLOADING... for$$ z$-$values.

followsDemand $=83$ comma $200$units$/$year

followsOrdering cost$=$$$32\mathrm{.}50/$order

followsHolding cost$=$$$2\mathrm{.}50/$unit$/$year

followsAverage lead time$=9$ weeks

followsStandard deviation of weekly demand$=120$ units

Part $2$

a$.$ The economic order quantity for this item is

$$

enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $3$

b$.$ If Petromax wants to provide a $90\%$ service$$ level, the safety stock is

$$

enter your response here units $($enter your response rounded to the nearest whole$$ number$)$ and the reorder