In the context of taxation, how does the elasticity of demand affect the distribution of the tax burden between consumers and producers when a tax is imposed on a good with inelastic demand?

When a tax is imposed on a good that has inelastic demand, it means that consumers will continue to buy almost the same amount of that good even if the price rises due to the tax. Since consumers are not very sensitive to price changes for inelastic goods, they end up bearing a larger part of the tax burden. For example, if a tax is added to a necessary item like medicine, consumers will still buy it because they need it, even if the price goes up. On the other hand, producers may not be able to pass on the entire tax to consumers, meaning they absorb some of the cost, but the consumers will feel the price increase more. This results in a situation where the tax burden is mostly felt by consumers rather than producers.