Suppose that the price elasticity of demand for cigarettes is 0.46 in the short run and 1.89 in the long run, the income elasticity of demand for cigarettes is 0.50, and the cross-price elasticity of demand between cirgaretts and alcohol is -0.70. Suppose also that the price of cigarettes, the income of consumers, and the price of alcohol all increase by 10 percent. Calculate by how much the demand for cigarettes will change 

(a) in the short run and 

(b) in the long run