You are the manager of a theater. At present the theater charges the same admisssion price of $8 to all customers, regardless of age. You propose a two-tier pricing scheme: $5 for children under the age of 12 and $10 for adults. You tell your supervisor that your proposal is likely to increase revenues. What must be the price elasticity of demand if your proposal is to achieve its goal of raising revenue? Explain your answer.