The daily demand for a component at a hardware store is normally distributed, with an average of $100$ and a standard deviation of $10$ units. The store manager is willing to accept a risk of stockout $3\%$ of the time during the lead time, which is constant at $6$ days.

a$.$ The service level that the store manager wants to maintain$=?$

b$.$ The appropriate value of Z $($i$.$e$.,$ the number of standard normal deviations$)=?$

c$.$ Safety stock $=?$ Units

d$.$ Reorder point $=?$ Units