If the cross-price elasticity of demand between two goods A and B is positive, what does this imply about the nature of these goods when demand for good A is inelastic?

When the cross-price elasticity of demand between two goods A and B is positive, it means that as the price of good B increases, the demand for good A also increases. This indicates that goods A and B are substitutes, meaning that if people find good B too expensive, they will buy more of good A instead. If the demand for good A is inelastic, it shows that changes in price have little effect on the quantity demanded; people will still buy it even if the price goes up. For example, if coffee (good A) has an inelastic demand and tea (good B) becomes more expensive, people might buy more coffee instead of tea, because they see coffee as a substitute. This relationship helps businesses understand how changes in the market can affect their products.