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Let us consider a linear demand curve q=a−bpq = a - bp. On the same demand curve, arrange the elasticity in ascending order.

(A) ∣eD∣=1|e_D| = 1.

(B) ∣eD∣<1|e_D| < 1.

(C) ∣eD∣>1|e_D| > 1.

(D) ∣eD∣=0|e_D| = 0.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

For a linear demand curve:

q=a−bpq = a - bp

Elasticity of demand:

ed=dqdp⋅pqe_d = \dfrac{dq}{dp} \cdot \dfrac{p}{q}

=(−b)⋅pa−bp= (-b) \cdot \dfrac{p}{a - bp}


At different points on the same demand curve:

At p=0p = 0

ed=0e_d = 0

Thus, ∣ed∣=0|e_d| = 0 → (D)


In the lower portion of the curve:

∣ed∣<1|e_d| < 1 → (B)


At midpoint:

∣ed∣=1|e_d| = 1 → (A)


In the upper portion:

∣ed∣>1|e_d| > 1 → (C)


Arranging in ascending order:

(D),(B),(A),(C)(D), (B), (A), (C)


Correct answer: Option 2

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