Deadweight loss is minimized when a tax is levied on something for which people:

Question

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When people are not likely to change their behavior much in response to a price change, the demand for the taxed good or service is relatively inelastic. This means that consumers will continue to purchase roughly the same amount of the item even with the tax. As a result, deadweight loss – the reduction in consumer and producer surplus – is minimized.

Deadweight Loss Is Minimized When a Tax Is Levied on Something