Searches related to Firm A has a new shampoo product, which has a potential market of 100,000 customers. The marketing research conducted by the firm shows that 50% of the customers will buy it if the shampoo is priced at no more than $12, and the other 50% of the customers will only buy it if the shampoo is priced at no more than $9. How should the firm price the shampoo to maximize its revenue?