$V=$ YOUR STUDENT NUMBER $02070-$

$V_S=$ SUM OF DIGITS OF YOUR STUDENT NUMBER $10(\}$

D&B$,$ a major hardware brand, works with a manufacturer in Taiwan for a particular model of its power tools $($Model S$24)$ for sale in Europe through their distribution center $($DC$)$ near Munich, Germany. Due to the variety of power outlets across different regions in Europe, Model S$24$ is produced in $4$ variants with different power plugs and transported using air freight from Taiwan. Air freight charges $$20$ per item shipped and delivers in $1$ week regularly, thanks to fixed schedules.

The Taiwanese manufacturer operates with a make$-$totorder approach, charging $$100,000$ per production order plus $$(230+V_S)$ per item, and requiring a $2-$week lead time to prepare each order. Assume that D&B takes ownership of the orders as soon as they leave the manufacturer's facility.

Weekly demand for each variant has the following independent and Normal distributions $($round up to integer$)$:

$\backslash$table$[[,$Variant $1,$Variant $2,$Variant $3,$Variant $4],[$Standard Deviation,$250(10+V_S),200(10+V_S),150(10+V_S),50(10+V_S)$