Procter & Gamble $($P&G$)$ is an US$-$headquartered multinational consumer goods

corporation. P&G maintains inventories of its wide range of products. P&G uses a

fixed$-$quantity inventory system to manage one of its popular household cleaning

products. Based on historical data, the demand for this product is normally distributed.

The lead time is $2$ weeks. The mean of lead time demand is $400$ units and the standard

deviation of lead time demand is $25$ units. Due to the competitive environment, a

stockout of $2\%$ during lead time is considered acceptable.

Question $4$a

What is the amount of safety stock that needs to be kept for this particular household

product? When should the order for the product be placed?

$(1$