Q $12\mathrm{.}8($Land$\text{'}$s End$)$ Geoff Gullo owns a small firm that manufactures $$Gullo Sunglasses.$$ He has the opportunity to sell a particular seasonal model to Land$$s End. Geoff offers Land$$s End two purchasing options:

This season's demand for this model will be normally distributed with mean of $200$ and standard deviation of $125.$ Land's End will sell those sunglasses for $$100$ each. Geoff's production cost is $$25.$

a$.$ How much would Land's End buy if they chose option $1?$

b$.$ How much would Land's End buy if they chose option $2?$