The residents of Kamrupa spend all of their income on cauliflower, broccoli, and carrots. In 2022, they buy 100 heads of cauliflower for $200, 50 bunches of broccoli for $75, and 500 carrots for $50. In 2023, they buy 75 heads of cauliflower for $225, 80 bunches of broccoli for $129, and 500 carrots for $100. (3 points) a) Calculate the price of each vegetable in each year. b) Using 2022 as the base year, calculate the CPI for each year. c) What is the inflation rate in 2023