Q.Under imperfect competition, Average Revenue (AR) remains _________ Marginal Revenue (MR). (Fill up the blank)
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Start your 14-day free trial to unlock the full solution →Concept understanding — Marginal Revenue Constant
Marginal Revenue Constant: When Every Extra Unit Earns the Same
Think about a lemonade stand. On a hot day, you sell the first glass for ₹20. The second glass? Still ₹20. The third? ₹20 again. Every time you sell one more glass, your total revenue goes up by exactly ₹20. That ₹20 is your marginal revenue — and it stays the same no matter how many glasses you sell.
That is the simplest case of constant marginal revenue. But in economics, this situation is special, not automatic. Let's see why.
The Precise Meaning
Marginal Revenue (MR) is the change in total revenue when you sell one additional unit of output.
Where:
- = change in total revenue
- = change in quantity sold (usually 1 unit)
When MR is constant, it means every extra unit you sell adds exactly the same amount to your total revenue. The number does not change as you sell more.
When Does MR Stay Constant?
This happens only when the firm can sell any quantity at the same price — that is, when the firm is a price taker. In perfect competition, the market sets the price, and the individual firm cannot influence it. So:
The marginal revenue from selling one more unit is simply the market price. And since the price does not change with the firm's output, MR is constant.
In perfect competition, at every level of output. The MR curve is a horizontal straight line at the market price.
Why It Matters
Constant MR changes how a firm thinks about profit. If MR is constant, the firm's total revenue is a straight line:
Every extra unit adds exactly to revenue. So the firm's decision to produce more depends entirely on whether the marginal cost of that unit is less than or greater than this constant MR.
If MR is constant but MC is rising (as it usually does), the firm will keep producing until . That is the profit-maximising output.
The Contrast: When MR Is Not Constant
Most real-world firms face downward-sloping demand. To sell more, they must lower the price on all units. So the extra revenue from selling one more unit is less than the price — MR falls as output rises. That is the world of monopoly, monopolistic competition, and oligopoly. …
Part (a): under imperfect competition AR remains greater than MR. Part (b): for equilibrium MR and MC must be equal, and beyond that output MC must be rising.
AR vs MR under imperfect competition
Under perfect competition the firm is a price-taker facing a horizontal demand curve, so every unit sells at the same price and .
Under imperfect competition (monopoly, monopolistic competition, oligopoly) the firm faces a downward-sloping demand curve. To sell an extra unit it must lower the price on all units sold. So MR = price of the extra unit − revenue lost on the earlier units, which is below the price (AR).
For a linear demand : and — same intercept but twice the slope — so for any positive Q, .
The MR curve lies below the AR (demand) curve, so AR remains greater than MR.
Concept understanding — Profit Maximization Condition
The Profit Maximisation Condition: Why Firms Produce What They Do
Think about the last time you decided how many samosas to eat. You stop when the next samosa gives you less pleasure than the effort of eating it costs you. A firm does exactly the same thing — but with money.
The Core Intuition
Every extra unit a firm produces brings in some additional revenue (called Marginal Revenue, MR) and costs some additional money to make (called Marginal Cost, MC). As long as the revenue from one more unit exceeds its cost — that is, as long as — the firm should keep producing. Each such unit adds to total profit.
But the moment the cost of the next unit exceeds the revenue it brings — — producing that unit would reduce total profit. So the firm stops.
The sweet spot, the point of maximum profit, is where:
This is the Profit Maximisation Condition. It is not a guess — it is a logical necessity.
What Each Symbol Means
- MR (Marginal Revenue): The change in total revenue when one more unit is sold. In perfect competition, MR equals the market price (), because the firm can sell any quantity at that price. In imperfect competition, MR is less than price and falls as output rises.
- MC (Marginal Cost): The change in total cost when one more unit is produced. It typically falls initially (due to specialisation) and then rises (due to diminishing returns).
Why the Condition Holds — A Simple Proof
Suppose a firm produces units. Consider producing one more unit.
- If , the extra unit adds to profit. So profit increases. The firm should produce it.
- If , the extra unit subtracts from profit. So profit falls. The firm should not produce it.
The only point where no further increase or decrease in output can raise profit is when . At that point, the last unit produced adds exactly zero to profit — any change would reduce it.
This is a necessary condition for profit maximisation. It tells you where to look. But it is not sufficient by itself — the firm must also be on the rising portion of the MC curve (the second-order condition ensures it is a maximum, not a minimum).
A Diagram in Words
Draw a standard cost-revenue diagram:
- The MC curve is U-shaped (falls, then rises).
- The MR curve is a horizontal line at price (under perfect competition) or a downward-sloping line (under monopoly).
The two curves intersect at two points — once where MC is falling (the first intersection) and once where MC is rising (the second intersection). The profit-maximising output is at the second intersection, where MC cuts MR from below. Why? Because to the left of this point, (so profit rises as output increases), and to the right, (so profit falls). The first intersection is a profit minimum — the firm would be better off producing nothing than stopping there.
Why This Matters for Exams …
Part (a): under imperfect competition AR remains greater than MR. Part (b): for equilibrium MR and MC must be equal, and beyond that output MC must be rising.
Firm equilibrium conditions
A profit-maximising firm is in equilibrium when:
- MR = MC (first-order condition) — the last unit's extra revenue just equals its extra cost. …
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