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3 September, 09:45

Suppose the demand and supply functions for product X are as follows: QXD=100-.5PX-.2PC+.8PS+.0005Y+.0004A QXS=25+.5PX where, PC is the price of product C, which is currently $25; PS is the price of product S, which is currently $80; Y is the level of per capita income, which is currently $20,000; and A is monthly advertising, which is currently $15,000. What is the equilibrium market quantity of product X?

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  1. 3 September, 10:25
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    125

    Explanation:

    QXD = 100 - 0.5PX - 0.2 (25) + 0.8 (80) + 0.0005 (20,000) + 0.0004 (15,000)

    QXD = 175 - 0.5PX

    QXS=25+0.5PX

    At equilibrium,

    QXD = QXS

    175 - 0.5PX = 25+0.5PX

    175 + 25 = 0.5PX + 0.5PX

    PX = 200

    QX = 25+0.5 (200) = 125
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