3.You know from earlier in the course that if the firm has the linear demand equation P(q) = a –bq, then the price elasticity of demand at an output qis ε= (bq-a)/bq. Use this result to calculate the price elasticity of demand at the firm’s profit-maximizing point on the demand curve.
a. Based on your result in the last part, is the firm’s demand elastic or inelastic at the profit-maximizing point? Explain.
b.Using the price and marginal cost you found in 1(c) and 1(d), calculate the firm’s monopoly markup ratio (P –MC)/P. Is this equal to -1/ε, as we’d expect? Price= $6 MC=2
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