This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.
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You're on a roll — let's calculate the Retail Price Index (RPI) and the necessary income adjustment. a) What is the numerical value of the RPI? Step 1: Calculate the total weighted price for Year 1. We multiply the weight of each good by its price in Year 1 and sum them up. Total Weighted Price (Year 1) = (5 × 100) + (2 × 200) + (1 × 50) + (2 × 600) = 500 + 400 + 50 + 1200 = 2150 Step 2: Calculate the total weighted price for Year 2. We multiply the weight of each good by its price in Year 2 and sum them up. Total Weighted Price (Year 2) = (5 × 150) + (2 × 250) + (1 × 100) + (2 × 500) = 750 + 500 + 100 + 1000 = 2350 Step 3: Calculate the RPI. The formula for the RPI is: RPI = Total Weighted Price (Year 2)Total Weighted Price (Year 1) × 100 RPI = (2350)/(2150) × 100 RPI ≈ 1.093023 × 100 RPI ≈ 109.30 b) If a person earns 10,000 per week in year one, by how much should his income increase so as to maintain the same living standard? Step 4: Calculate the percentage increase in prices (inflation rate). The percentage increase in prices is the RPI minus 100. Inflation Rate = RPI - 100 Inflation Rate = 109.30 - 100 = 9.30\% Step 5: Calculate the required income increase. To maintain the same living standard, the person's income must increase by the same percentage as the inflation rate. Required Income Increase = Original Income × Inflation Rate100 Required Income Increase = 10,000 × (9.3023)/(100) Required Income Increase ≈ 10,000 × 0.093023 Required Income Increase ≈ 930.23 Drop the next question!