Freshly made yogurt is stocked at a nearby grocery store each week. At the end of the

week unsold yogurts is reduced in price by $75\%$ and always sells for this lower price

instantly. If weekly demand for yogurt is normally distributed with a mean of $220$ units

and standard deviation of $25$ units, find the price for which a fresh unit of yogurt sells.

Assume a service level of $98\%$ and that the store purchases yogurt for $$0\mathrm{.}75.$