Question

Suppose Nationwide increases the insurance premium they charge for their auto policies by 6 percent. In response, the demand for State Farm auto policies in a small town increases from 1,500 to 1,650. What is the cross-price elasticity of demand for State Farm auto policies in this town?Using the midpoint formula, the cross-price elasticity of demand for State Farm auto policies is _____. (Round to 3 decimal places.)In this instance, auto insurance from Nationwide and auto insurance from State Farm are _____.

Answer 1

1.667

Step-by-step explanation:

% Change in Quantity Demanded in units = (1650 - 1500 / 1500)*100 = (150/1500) * 100 = 10%

% Change in Price = [(1.06x-x)/x]*100 = (0.06/1)*100 = 6%

Cross-price elasticity of demand is given Ec = (% Change in Quantity Demanded of good / % Change in Price of good)

Cross-price elasticity of demand = 10% / 6%

Cross-price elasticity of demand = 0.10 / 0.06

Cross-price elasticity of demand = 1.6666666667

Cross-price elasticity of demand = 1.667

Therefore, the cross-price elasticity of demand of State Farm Auto Policies is 1.667.