Question

The market demand for wheat is Q = 100 − 2p + 1pb + 2Y . If the price of wheat, p, is $2, and the price of barley, pb, is $3, and income, Y, is $1000. Then what is the income elasticity of wheat?

Answer 1

Answer:

0.95

Explanation:

Given that,

Market demand for wheat: Q = 100 − 2p + 1pb + 2Y

price of wheat, p = $2

price of barley, pb = $3

Income, Y = $1000

Q = 100 − 2p + 1pb + 2Y

   = 100 - (2 × 2) + (1 × 3) + (2 × 1,000)

   = 100 - 4 + 3 + 2,000

   = 2,099

Differentiating Q with respect to Y,

dQ/dY = 2

Income elasticity of wheat:

= (dQ/dY) × (Y ÷ Q)

= 2 × (1,000 ÷ 2,099)

= 0.95