Calculating the change in output
Sailright Inc. manufactures and sells sailboards. Management believes that the price elasticity of demand is -3.0. Currently, boards are priced at $500 and the quantity demanded is 10,000 per year.
A. If the price is increased to $600, how many sailboards will the company be able to sell each year?
B. The cross-price elasticity of demand between Sailright and its closest competitor is +2.25 and income elasticity of demand is +1.5. If income increases by 5% and its competitor reduces its prices by 10%, how much would Sailright have to change its prices to keep its total sales unchanged? Assume that price elasticity of demand is still -3.0.