Practice Questions
Justify why the average fixed cost curve can never touch the horizontal axis, no matter how large the output becomes.
Compare the concepts of 'short run' and 'long run' in the context of a firm's production decisions.
Formulate the precise relationship between the three stages of returns to scale and the shape of the long-run average cost curve.
Given the following total product schedule for a firm, calculate its Average Product (AP) and Marginal Product (MP) of labour.
Critique the law of variable proportions by stating one key assumption that limits its direct application in the modern technology industry.
Calculate the Total Fixed Cost (TFC) if the Average Fixed Cost (AFC) of producing 5 units of a good is Rs 20.
Recall the formula for Average Variable Cost (AVC).
Identify the difference between a fixed factor and a variable factor of production.
List the three types of returns to scale.
Solve for the total output (q) if a firm uses 4 units of Labour (L) and 9 units of Capital (K) and its production function is q = 3 * L * K.
Define the term 'production function' in the context of a firm.
A student claims, 'If marginal product is falling, then average product must also be falling.' Formulate a clear and concise counterargument to critique this incorrect statement.
Examine why the Short Run Marginal Cost (SMC) curve is 'U'-shaped.
Explain when a production function exhibits Constant Returns to Scale (CRS).
Describe the relationship between Total Cost (TC), Total Fixed Cost (TFC), and Total Variable Cost (TVC).
Contrast the implications of Increasing Returns to Scale (IRS) and Decreasing Returns to Scale (DRS) on the shape of the Long Run Average Cost (LRAC) curve.
Examine the relationship between Total Cost (TC) and Total Variable Cost (TVC) in the short run. Why do their curves have the same shape?
A firm's Marginal Cost of producing the 5th unit of output is Rs 15. Its Total Cost of producing 4 units is Rs 70. Calculate the Total Cost of producing 5 units.
A firm increases all its inputs by 50 percent, but its output only increases by 30 percent. Analyze what this implies for the firm's production process.
Design a simple decision rule for a profit-maximizing firm to determine whether it should hire one additional worker in the short run.
A farmer with a fixed plot of land continues to hire workers. Justify the farmer's decision to eventually stop hiring, using the relationship between marginal product and total product.
A firm has a Total Fixed Cost (TFC) of Rs 100. Its Total Cost (TC) schedule is provided below. Calculate its Total Variable Cost (TVC), Average Variable Cost (AVC), and Short Run Marginal Cost (SMC).
Demonstrate the relationship between Total Variable Cost (TVC) and the Short Run Marginal Cost (SMC) curve.
What is an isoquant? Describe its main characteristic.
Define Marginal Product of an input.
Describe the shape of the short run marginal cost (SMC), average variable cost (AVC), and short run average cost (SAC) curves.
Define Short Run Marginal Cost (SMC).
Apply the concepts of costs to explain why the vertical distance between the Short Run Average Cost (SAC) and Average Variable Cost (AVC) curves decreases as output increases.
Create a numerical example for a firm with a Total Fixed Cost of 100 units. Your example must include output from 1 to 4 units and demonstrate the U-shape of the Short Run Average Cost (SAC) curve.
Justify why the short-run marginal cost curve must intersect the average variable cost curve precisely at the minimum point of the average variable cost curve.
Propose two distinct real-world reasons why a manufacturing firm might experience increasing returns to scale in its initial phase of expansion.
Propose a real-world scenario where a firm might deliberately choose to operate in the region of decreasing returns to scale.
A firm's production function is given by Q = 10 * L^0.5 * K^0.5. Analyze the type of returns to scale this production function exhibits. Demonstrate your conclusion by doubling both inputs, Labour (L) and Capital (K).
Explain the relationship between Average Product (AP) and Marginal Product (MP).
Analyze the relationship between the Average Product (AP) and Marginal Product (MP) curves. Explain why the MP curve intersects the AP curve at its maximum point.
Explain why the Average Fixed Cost (AFC) curve is downward sloping.
Summarize the relationship between the Long Run Average Cost (LRAC) curve and returns to scale.
Propose a cost-management strategy for a new e-commerce startup, explaining how it should approach its fixed and variable costs differently in the first year.
Evaluate the statement: 'A firm should always aim to operate at the output level where its long-run average cost is at its minimum.' Justify your evaluation.
Evaluate the Cobb-Douglas production function Q = A * L^α * K^β, where α + β < 1. What does this imply about the firm's long-run average costs and why might a firm exhibit this characteristic?
Summarize the Law of Variable Proportions.
Evaluate the usefulness of a standard, convex isoquant for a business that requires one driver for every one truck. How would you redesign the isoquant to represent this production function?
Critique the sharp theoretical distinction between the 'short run' and the 'long run'. Propose a more nuanced view for a real-world car manufacturing plant.
Analyze why a rational producer chooses to operate only in the second stage of the Law of Variable Proportions (stage of diminishing returns).