Section 12.3: Dot Product

A street vendor sells \(a\) hamburgers, \(b\) hot dogs, and \(c\) soft drinks on a given day. He charges $2 for a hamburger, $1.50 for a hot dog, and $1 for a soft drink. If \(\mathbf{A} = \langle a, b, c \rangle\) and \(\mathbf{P} = \langle 2, 1.5, 1 \rangle\), what is the meaning of the dot product \(\mathbf{A} \cdot \mathbf{P}\)?