Step 1: Understanding the Question:
• A time series is affected by four components: secular trend, seasonal variation, cyclical variation and irregular variation. We match each situation with its component.
Step 2: Detailed Explanation:
• A. A factory fire that delays production for three weeks is a sudden, unpredictable event, so it is an Irregular Variation (IV).
• B. An era of prosperity is part of the up and down swings of the business cycle that last several years, so it is a Cyclical Variation (III).
• C. A constant increase in population gives a long-term upward movement in the need for wheat, so it is a Secular Trend (II).
• D. The rise in temperature from winter to summer repeats every year, so it is a Seasonal Variation (I).
• So the matching is A-IV, B-III, C-II, D-I.
Step 3: Final Answer:
The correct option is (B) A-IV, B-III, C-II, D-I.