Example 1: A class of students is holding a New Year's riddle competition and needs to purchase 4, 5, and 6 prizes of different prices. Now, they are selecting prizes with unit prices of 1 yuan, 2 yuan, and 3 yuan from a supermarket. The minimum and maximum amount of money spent should be $(\quad)$
A. 28 yuan and 32 yuan
B. 26 yuan and 34 yuan
C. 29 yuan and 31 yuan
D. 28 yuan and 34 yuan
Analysis: According to the rearrangement inequality, the least amount of money spent should be the reverse order sum: $4 \times 3 + 5 \times 2 + 6 \times 1 = 28$ yuan, and the most amount of money spent should be the direct order sum: $4 \times 1 + 5 \times 2 + 6 \times 3 = 32$ yuan. Therefore, the answer is $A$.