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14 October, 10:09

A study of about 1,800 U. S. colleges and universities resulted in the demand equation q = 9,900 - 2p, where q is the enrollment at a college or university, and p is the average annual tuition (plus fees) it charges. (a) The study also found that the average tuition charged by universities and colleges was $2,700. What is the corresponding price elasticity of demand? (Round your answers to two decimal places.)

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  1. 14 October, 13:46
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    The corresponding price elasticity of demand is - 2.00.

    Explanation:

    The price elasticity of demand is obtained by differentiating the demand equation with respect to the average annual tuition fees (p).

    The demand equation is q = 9,900 - 2p

    Differentiating q with respect to p

    dq/dp = - 2 (differentiation of a constant is 0)

    Therefore, the price elasticity of demand is - 2.00.
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