KIndly provide the answer with proper explanation

Currently, the shop sells its beers at $ 3.00 per bottle, drawing monthly demand of 3,000 bottles. Today, the shop's management has decided to cut down the price by $ 1 per bottle, which is expected to increase the monthly demand by up to 4500 bottles. Calculate the price elasticity of the beer demand based on the given information and explain how the calculated elasticity reflects the relationship between the price and the demand of the beer.