Evaluating a Production Increase Strategy
A firm with a downward-sloping demand curve is considering increasing its production and sales by one unit. This will require lowering the price for all units sold. A consultant provides two potential outcomes based on two different market analyses (Scenario A and Scenario B), each assuming a different responsiveness of quantity demanded to the price change.
- Scenario A: The revenue gained from selling the additional unit is significantly larger than the revenue lost from the price reduction on the original units.
- Scenario B: The revenue lost from the price reduction on the original units is significantly larger than the revenue gained from selling the additional unit.
Critique the decision to increase production under each scenario. In your evaluation, explain the underlying economic principle that differentiates the two outcomes and justify which scenario represents a better business decision for a firm aiming to maximize its total revenue.
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A firm with a downward-sloping demand curve increases its output from Q1 to Q2, which requires lowering the price from P1 to P2 for all units sold. This change in sales strategy creates two distinct effects on total revenue, which can be visualized as rectangular areas on a price-quantity graph.
- Area X is a rectangle with a height of (P1 - P2) and a width of Q1.
- Area Y is a rectangle with a height of P2 and a width of (Q2 - Q1).
Which statement correctly identifies the economic meaning of Area X and Area Y in terms of the change in total revenue?
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Evaluating a Production Increase Strategy
Two firms, Firm Alpha and Firm Beta, operate in different markets but both currently sell 40 units of their product at a price of $100 per unit. To increase sales to 41 units, each firm must lower the price for all units sold. Firm Alpha must lower its price to $98, while Firm Beta must lower its price to $90. Which statement correctly analyzes the impact on each firm's total revenue?
A firm with market power is currently selling 200 units of a product at a price of $50 per unit. To increase sales to 210 units, the firm must lower the price to $47 for all units sold. Given this information, the firm's decision to increase output will lead to an increase in its total revenue.