In a P system, the lead time for a box of weed$-$killer is three weeks and the review period is one week. Demand during the protection interval averages $231$ boxes, with a standard deviation of demand during the protection interval of $40$ boxes.

a$.$ What is the cycle$-$service level when the target inventory is set at $250$ boxes? Refer to the standard normal table as needed.

The cycle$-$service level is $68\mathrm{.}44\%.($Enter your response rounded to two decimal places.$)$

What would be the cycle$-$service level if management keeps the target inventory level set at $250$ boxes? Refer to the standard normal table as needed.

The cycle$-$service level would be ${87\mathrm{.}90}^{\%}\%.($Enter your response rounded to two decimal places.$)$

In a P system, the lead time for a box of weed$-$killer is two weeks and the review period is one week. Demand during the protection interval averages $208$ boxes, with a standard deviation of demand during the protection interval of $50$ boxes.