$$s End. Tom offers Land$$s End two purchasing options:

$$ Option $1.$ Tom offers a price of $$46$ for each unit, but returns are no longer accepted. In this case, Land$$s

End throws out unsold units at the end of the season.

$$ Option $2.$ Tom offers to set his price at $$60$ and agrees to credit Land$$s End $$52$ for each unit Land$$s

End returns to Tom at the end of the season.

This season$$s demand for this model will be normally distributed with mean of $210$ and standard deviation of

$100.$ Land$$s End will sell those sunglasses for $$110$ each.

a$)$ How much would Land$$s End buy if they choose option $1?[$