Homework due Apr $16,202411$:$00$ EDT

Problem V$\mathrm{.}5.$a

$\frac{0\mathrm{.}0}{3\mathrm{.}0}$ points $($graded$)$

Consider a manufacturing process for an electronic appliance with a lead time of $L=9$ weeks. The process produces three product variants, customized for the electrical codes for different regions: North America; Europe; and Asia. Except for the customization of the electronics, the product is the same for all regions. Within the manufacturing process, the customization currently occurs at the start of production; the customization decision is not reversible, so once a unit is started into production, it is destined for one of the three regions.

Each product is made to stock, and the inventory is controlled with a periodic revi $t_N,$ base stock policy.

The review period is $r=1$ week, demand is assumed to be normally distributed, and the safety factor is $z$ The The demand parameters are given in the following table.

$\backslash$table$[[$Region$,\backslash$table$[[$Mean Demand$],[$Per Week$]],\backslash$table$[[$Standard Deviation of$],[$Demand Per Week$]]],[$North America,$100,30],[$Europe$,80,24],[$Asia$,150,45]]$

Determine the safety stocks for each product variant. Round to the nearest whole number.

North America: