(Question 1)
Fixed weight GDP keeps quantity consumed at base year values and imported goods are excluded, since GDP does not include imports.
Cost of basket, Year 0 ($) = 50 x 30 + 1,000 x 10 + 25 x 20 = 1,500 + 10,000 + 500 = 12,000
Cost of basket, Year 1 ($) = 60 x 30 + 1,100 x 10 + 20 x 20 = 1,800 + 11,000 + 400 = 13,200
Cost of basket, Year 2 ($) = 50 x 30 + 500 x 10 + 50 x 20 = 1,500 + 5,000 + 1,000 = 7,500
Therefore,
CPI, year 0 = 100 (Base year CPI is always 100)
CPI, year 1 = (Cost of basket, year 1 / Cost of basket, year 0) x 100 = ($13,200 / $12,000) x 100 = 110
CPI, year 2 = (Cost of basket, year 2 / Cost of basket, year 0) x 100 = ($7,500 / $12,000) x 100 = 62.5
% Change in GDP growth rate = % Change in CPI = (62.5 / 110) - 1 = 0.56 - 1 = -0.43
NOTE: As per Answering Policy, 1st question is answered.
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