$2023-$Fall Final Exam iGiven the following information:

Expected demand during a lead time $=600kg$

Standard deviation of demand during a lead time $=56kg$

Demand during a lead time is distributed Normally Acceptable stockout risk during a lead time $=5$ percent

Refer: z$-$values table.

a$.$ What amount of safety stock is appropriate? $($Round the final answer to the nearest whole number.$)$

Safety stock

kg

b$.$ At what level of inventory should this item be reordered?

ROP

kg

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$4$ A manager checked production records and found that a worker produced $180$ units while working $40$ hours. In the previous week, the same worker produced $144$ units while working $35$ hours.

a$.$ Calculate the labour productivity in the current week and the previous week? $($Round the final answers to $2$ decimal places.$)$

$00$:$43$:$44$

Labour Productivity

$\backslash$table$[[$Current week,$4\mathrm{.}50$ units per hour$],[$Previous week,$4\mathrm{.}11$ units per hour$]]$

b$.$ Did the worker's productivity increase, decrease, or remain the same?

Worker's productivity

increase