The bathtub theory of operations management is being promoted as the next breakthrough for global competitiveness. The factory is a bathtub with 50 gallons of capacity. The drain is the outlet to the market and can output 2.5 gallons per hour when wide open. The faucet is the raw material input and can let material in at a rate of five gallons per hour. Now, to test your comprehension of the intricacies of operations (assume the bathtub is empty to begin with): a-1. What is the maximum rate (gallons per hour) at which the market can be served if all valves are set to maximum