How the number of gallons in the open tank is changing over

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9. Process Analysis Problem: (10 Points)
The bathtub theory of operations management is being promoted as the next breakthrough for global competitiveness. The factory is an open tank with 200 gallons of capacity. The drain is the outlet to the market and can output 100 gallons per hour when wide open. The faucet is the raw material input and can let material in at a rate of 120 gallons per hour. Now, to test your comprehension of the intricacies of operations (assume the tank is empty to begin with):

a. Draw a diagram of the factory and determine the maximum rate at which the market can be served if all valves are set to maximum. Explain in words how the number of gallons in the open tank is changing over time and draw a graph of the situation (gallons in the open tank over time).

b. Suppose that instead of a faucet, a 120 gallon container is used for filling the tank (assume a full container is next to the tank to begin with); it takes 2.0 hours to refill the container and return it to the tank. Explain in words how the number of gallons in the open tank is changing over time and draw a graph of the situation (gallons in the open tank over time).

Reference no: EM13338037

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