Suppose the inverse demand function for a monopolist’s product is given by
P =100 − 2Q , and the cost function is given by C(Q) = 20 + 4Q . Determine the
profit maximizing price and quantity and the maximum profits. (15%)
In a Cournot oligopoly, each firm believes rivals will hold their output constant if it
changes its output. Suppose three identical firms compete in a homogeneous-product
Cournot industry. The market elasticity of demand ( Em ) for the product is −1 , and
each firm’s marginal cost of production (MC) is $30.
(1) Show that the elasticity of demand for an individual firm’s product ( Ef ) is −3 .
(10%)
(2) What is the profit-maximizing equilibrium price (P) ? (10%)
Prima is currently the only firm in the market, and it earns $20 million per year by
charging the monopoly price. Prima is concerned that a new firm might start to clone
its product next period. If successful, this would reduce Prima’s profit to $4 million
per year. Estimates indicate that, if Prima charges a limit price from now on, the
entrant will stay out of the market and Prima will earn profits of $6 million per year
for the indefinite future. Does it make sense for Prima to limit price if the interest rate
is 10%? (15%)
消費券的發行對於臺灣的消費與實質所得有何影響?試以總合供需(AS-AD)模型
分析之。 (12%)
經濟學人雜誌在2009 年2 月的報導中,提出臺灣過份依賴出口,是導致最近之
嚴重景氣衰退的主要原因。你認為這樣的說法合理嗎?請以你所學過的經濟理論
解釋。 (10%)
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