The following table shows the consumption categories used to compute the consumer price index in a hypothetical economy, their weights as percentages in a typical consumer's total expenditure, and the price ratios relative to the base year. Weight in CPI Category of goods and Price ratio pl/po Price ratio p2/p0 services (i) formula (wi) (pi) (percent) Year 1 Year 2 Food 16.9 Shelter 26.8 0.85 Household operations and 10.6 furnishings Clothing and footwear 1.08 1.92 Transportation 10.98 Health and personal care Recreation. education, and 12.0 1.09 reading Alcoholic beverages and 2.02 tobacco products a) Calculate the consumer price index in Year I and Year 2. b) Calculate the inflation rate in Year 1 and Year 2. c) Explain how the weights in column 2 were determined. Discuss the meaning of "Price of food."