Question $15(2$ points$)$

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Scenario $16\mathrm{.}1-$ The Stone Lion

The Stone Lion, a bed and breakfast located in a sleepy town, caters to two groups of customers, young couples interested in something marginally more exotic than a staycation, and corporate clients interested in doing some team$-$building at a location with no cellular service. Corporations know they can get rooms with minimal notice, but young couples on tight budgets tend to plan well in advance of their planned stay at the property. The corporate rate for rooms is $$250$ per person and the demand pattern is normal with a mean of $20$ and a standard deviation of $10.$ The proprietor of the Stone Lion takes pity on the young couples and charges them only $$150$ for identical accommodations.

If the corporate price and young couples' price both double, how many additional rooms should the Stone Lion hold for corporate clients?

$$ A$)0$

$$ B$)2$

C$)1$

$$ D$)3$