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28 May, 01:53

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?

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  1. 28 May, 02:00
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    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
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