A Snow Cone Stand Sells Three Sizes of Snow Cones $\vec{N}=(s, m, l)$

A snow cone stand sells three sizes of snow cones: small, medium, and large. Let $\vec{N}=(s, m, l)$ give the number of each type of cone sold in one day. Let $\vec{P}=\left(p_{s}, p_{m}, p_{l}\right)$ give the price charged for each size of snow cone, $\vec{C}=\left(c_{s}, c_{m}, c_{l}\right)$ give the cost of making each size of snow cone, and $M=\left(m_{s}, m_{m}, m_{l}\right)$ give the maximum number of each size that can be sold (because of the number of each size cup on hand.) Let $\vec{T}=\vec{P}-\vec{C}$ . Which of the following gives the total profit earned in one day?

A) $\vec{M} \cdot \vec{T}$
B) $\vec{M} \cdot \vec{P}$
C) $\vec{N} \cdot \vec{T}$
D) $\vec{N} \cdot \vec{P}$