Detailed Explanation:

Answer: Option 4 — high capital-output ratio

Even when an economy has high savings leading to substantial capital formation, if the capital-output ratio (COR) is high, it means more capital is required to produce each unit of output, resulting in inefficient conversion of investment into GDP growth. This inefficiency can stem from technological backwardness, poor infrastructure, inadequate skill levels, or misallocation of resources, making the investment less productive.

Why other options are incorrect:
• Weak administrative machinery affects implementation efficiency but doesn't directly define the capital-output relationship.
• Illiteracy affects human capital quality but isn't the primary reason why capital formation fails to generate proportionate output.
• High population density may create employment challenges but doesn't directly explain why invested capital produces limited output.

📝 Short Notes: Capital-Output Ratio and Economic Growth

• Capital Formation: Net addition to the existing stock of capital goods (machinery, buildings, infrastructure) in an economy during a given period.
• Capital-Output Ratio (COR): Measures the amount of capital required to produce one unit of output. Formula: COR = Capital Stock / Output (GDP)
• Low COR: Indicates efficient use of capital — less capital needed for each unit of output (desirable for rapid growth)
• High COR: Indicates inefficient capital use — more capital needed for each unit of output (slows growth despite high investment)
• Incremental Capital-Output Ratio (ICOR): Measures additional capital needed for additional unit of output. Used in growth models and planning.
• Factors causing high COR: Technological obsolescence, poor infrastructure, skill gaps, capital-intensive but low-productivity sectors, bureaucratic delays, and underutilization of capacity.
• Policy implication: Merely increasing savings and investment isn't sufficient; improving productivity and efficiency of capital use is crucial for sustained economic growth.