Which of the following will be true for both monopoly and monopolistic competition in the short run ?
Price is greater than marginal revenue.
This question asks about a characteristic that holds true for both monopoly and monopolistic competition during the short-run period. Let's examine the key features of each market structure in the short run, focusing on the relationship between price and marginal revenue.
A monopoly is a market structure where there is only one seller of a unique product with no close substitutes. The monopolist faces the entire market demand curve. This demand curve is typically downward-sloping.
For a firm facing a downward-sloping demand curve, to sell an additional unit of output, the firm must lower the price not just for that marginal unit but for all units sold. This means that the revenue gained from selling an additional unit (marginal revenue) is less than the price of that unit. Mathematically, for output greater than zero, marginal revenue is less than price.
Profit maximization for a monopolist in the short run occurs at the output level where marginal revenue equals marginal cost ($\text{MR} = \text{MC}$). The price is then determined by the demand curve at that output level.
Monopolistic competition is a market structure characterized by many firms selling differentiated products. Because products are differentiated (e.g., through branding, features, location), each firm has a degree of market power and faces a downward-sloping demand curve for its specific product. However, this demand curve is typically more elastic than a monopolist's demand curve due to the presence of close substitutes.
Similar to a monopoly, because the demand curve is downward-sloping, a monopolistically competitive firm must lower its price to sell more output. Consequently, the marginal revenue generated from selling an extra unit is less than the price of that unit.
Profit maximization for a monopolistically competitive firm in the short run also occurs at the output level where marginal revenue equals marginal cost ($\text{MR} = \text{MC}$). The price is determined by the demand curve at that output level.
For any firm that faces a downward-sloping demand curve, the price of the product is greater than the marginal revenue for any quantity greater than one. Both monopolists and firms in monopolistic competition face downward-sloping demand curves in the short run.
Let's consider the relationship between total revenue (TR), price (P), and quantity (Q).
$\text{TR} = \text{P} \times \text{Q}$
Marginal revenue (MR) is the change in total revenue from selling one more unit:
$\text{MR} = \frac{\Delta \text{TR}}{\Delta \text{Q}}$
When the demand curve is downward-sloping, increasing Q requires decreasing P. The change in TR when increasing Q by one unit is P minus the loss in revenue from having to lower the price on all previous units. Therefore, MR < P.
This fundamental relationship ($\text{P} > \text{MR}$) holds true for both market structures in the short run because their demand curves are not perfectly horizontal (as in perfect competition).
Let's evaluate the given options based on our understanding of short-run monopoly and monopolistic competition:
Based on the analysis, the only statement that is consistently true for both monopoly and monopolistic competition in the short run is that price is greater than marginal revenue.
| Feature | Monopoly (Short Run) | Monopolistic Competition (Short Run) |
|---|---|---|
| Demand Curve | Downward Sloping (Market Demand) | Downward Sloping (Firm Demand) |
| Relationship between P and MR | $\text{P} > \text{MR}$ | $\text{P} > \text{MR}$ |
| Profit Maximization Condition | $\text{MR} = \text{MC}$ | $\text{MR} = \text{MC}$ |
| Relationship between P and MC at Profit Max | $\text{P} > \text{MC}$ | $\text{P} > \text{MC}$ |
| Economic Profit | Positive, Negative, or Zero | Positive, Negative, or Zero |
The relationship between price and marginal revenue is directly linked to the shape of the demand curve faced by the firm. Here's a quick look at other market structures:
Understanding why $\text{P} > \text{MR}$ for downward-sloping demand curves is crucial for analyzing the behavior of firms in non-perfectly competitive markets like monopoly and monopolistic competition.
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