14. (15 points) The main staircase of a mall hall is shown in the figure. There are 15 steps from the 1st floor to the 2nd floor, each step is 16 cm high and 26 cm deep. It is known that the staircase is 3 meters wide. To lay a carpet on the stairs from the 1st floor to the 2nd floor, which costs 80 yuan per square meter, how much money is needed at least to buy the carpet?
【Analysis】The total length of the carpet is $A C+B C, A C$'s length $=$ each step height $\times 15, B C$'s length $=\times 15$, knowing the width of the corridor, i.e., the width of the carpet, the total area of the carpet can be calculated using the formula for the area of a rectangle $S=a b$, and then the total price can be calculated according to: total price $=$ unit price $\times$ area.

【Solution】16 cm $=0.16$ m, 26 cm $=0.26$ m,
$$
\begin{aligned}
& (0.16+0.26) \times 15 \times 3 \times 80, \\
= & 0.42 \times 15 \times 3 \times 80, \\
= & 1.26 \times 15 \times 80, \\
= & 18.9 \times 80, \\
= & 1512 \text { (yuan). }
\end{aligned}
$$

Answer: At least 1512 yuan is needed to buy the carpet.