A discriminating monopolist aims to maximize profits by charging different prices in different markets. The pricing strategy depends on the price elasticity of demand in each market.
The fundamental principle for a profit-maximizing monopolist engaging in price discrimination is to charge a higher price in the market where demand is less elastic (i.e., has a lower absolute elasticity value). This is because consumers in less elastic markets are less sensitive to price changes, allowing the monopolist to extract more revenue.
In this scenario:
Comparing the elasticities, we find that $E_2 < E_1$ (since $1 < 2$). This means demand in Market II is less elastic than demand in Market I.
Therefore, the discriminating monopolist will charge a higher price in Market II, the market with the lower price elasticity of demand.
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