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Suppose market demand is a downward sloping linear curve. The monopolist is considering a price on the unit elastic point of
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Answer #1

A profit maximizing monopoly produces at the point where it's marginal revenue = marginal cost. But the profit isn't at it's maximum as long as the monopoly produces on the inelastic portion of the demand curve. Because as long as the demand is inelastic, the monopoly can increase the price it charges by lowering the output and it will increase it's profits continuously. Therefore, as long as the monopoly operates on the inelastic portion of the demand curve, it won't reach equilibrium (as long as the monopoly doesn't have negative marginal cost, which is not possible).

A monopoly Will reach equilibrium and will earn maximum profit when the elasticity of demand is greater than 1, that is when it produces on the elastic portion of the demand curve.

If a monopolist is considering a price on the unit elastic point of it's demand curve, lowering price by small amount means it will be producing on the inelastic portion of the demand curve. Therefore, profit will decrease because inelastic demand means, decrease in price will decrease total revenue.

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