You need to choose one sultable supplier among two avaliable suppliers for a product $x.$ Your Weekly demand for $x$ at is normally distributed with a mean of $100$ and a standard deviation of $50.$ You have historically purchased a $100$ per month from a local supplier who charges Ris $50$ per unit. You have identified another potential source willing to supply the $x$ at Rs $40$ per unit. Before making decision, you evaluate the cost associated with the two suppliers. You are currently using continuous review policy for managing inventory and aims for a cycle service level of $95$ percent. Which supplier should you go with if you have a holding cost of $20$ percent? $[$Note FS$-\text{'}(0\mathrm{.}95)=1\mathrm{.}64]$

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$\backslash$table$[[,$Local Supplier,Potential Supplier$],[$Average lead time,$1$ week,$2$ weeks$],[$SD in Iead time,$1$ week,$1$ week$],[$Minimum batch size,$300,500]]$