Respuesta :
Answer:
D. the demand for bottled water is price elastic in the price range considered.
Explanation:
- Demand elasticity can be express as the sensibility of change in the demanded quantity when prices change.
- Mathematically , can be written as [tex]\eta=\frac{\triangle Q\%}{\triangle P\%} =\frac{\partial{Q^d}}{\partial{P}} \times{\frac{P}{Q} }[/tex], where [tex]P[/tex] is the price and [tex]Q[/tex] is the quantity demanded. This means that elasticity reflects what is the percentage change in quantity [tex]\triangle Q\%[/tex] in the presence of a percentage change [tex]\triangle P\%[/tex] in prices.
- A decrease in supply would tipically rise prices, ceteris paribus.
- If the decrease in supply was the cause of a decrease in revenues, it means that the percentage change in demanded quantity as a consequence of the rise in prices was bigger than the change in prices.
- To see it more clearly, remember that the seller's revenue can be express as [tex]revenue=P\times{Q}[/tex]. If prices increased, but revenues fall, then [tex]Q[/tex] decreases in a bigger percentage than the increased in prices.
- If [tex]\triangle Q\%>\triangle P\%[/tex], then [tex]\eta>1[/tex], wich is consistent with an elastic range of demand.