Consider a hypothetical economy produces only three goods: X, Y and Z as is it given in the data below. X Y Z Year Price Quantity Price Quantity Price Quantity Year 1 $100 1 $10 8 $5 4 Year 2 $110 1 $12 10 $4 5 a) Calculate the nominal GDP for Year 1 and Year 2 b) Compute the percentage of growth in nominal GDP from Year 1 to Year 2. c) Using Year 1 as the base year, calculate the real GDP for Year 2. d) What is the GDP deflator for Year 2? e) What was the inflation rate between Year 1 and Year 2?