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Worked Examples · Example 1

Q.A firm under imperfect competition faces the following demand schedule. Fill in Total Revenue (TR), Average Revenue (AR) and Marginal Revenue (MR): Quantity (units) = 1, 2, 3, 4, 5 and Price per unit (₹) = 10, 9, 8, 7, 6.

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✓ Free question

Step 1 — Total Revenue, TR=P×QTR = P \times Q.

QP (₹)TR = P×Q (₹)
11010
2918
3824
4728
5630

Step 2 — Average Revenue, AR=TR/QAR = TR/Q. Since AR=(P×Q)/Q=PAR = (P\times Q)/Q = P, average revenue simply equals the price column: 10, 9, 8, 7, 6.

Step 3 — Marginal Revenue, MR=TRn−TRn−1MR = TR_n - TR_{n-1}.

MR1=10−0=10,  MR2=18−10=8,  MR3=24−18=6,  MR4=28−24=4,  MR5=30−28=2MR_1 = 10-0 = 10,\ \ MR_2 = 18-10 = 8,\ \ MR_3 = 24-18 = 6,\ \ MR_4 = 28-24 = 4,\ \ MR_5 = 30-28 = 2

Step 4 — Read the pattern. AR falls by ₹1 at each step; MR falls by ₹2 at each step, so MR lies below AR at every output beyond the first — exactly the relationship expected when a price-maker must cut price on all units to sell more.

✓Final answer

TR (₹): 10, 18, 24, 28, 30 · AR (₹): 10, 9, 8, 7, 6 · MR (₹): 10, 8, 6, 4, 2. AR falls at ₹1 per unit, MR at ₹2 per unit (MR below AR).

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