Problem 11-12 (Algo)The bathtub theory of operations management is being promoted as the next breakthrough for global competitiveness. The factory isa bathtub with 60 gallons of capacity. The drain is the outlet to the market and can output 2.5 gallons per hour when wide open. Thefaucet is the raw material input and can let material in at a rate of four gallons per hour. Now, to test your comprehension of theintricacies 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? (Round youranswer to 1 decimal place.)Maximum rategals/hra-2. If the faucet is running at maximum and the drain is wide open, in how many hours will the bathtub completely fill and start tooverflow? (Round your answer to 1 decimal place.)Number hours b. Suppose that, instead of a faucet, a four-gallon container is used for filling the bathtub (assume a full container is next to the tub tobegin with); it takes two hours to refill the container and return it to the bathtub. What is the average output rate (gallons per hour)?(Round your answer to 1 decimal place.)Average output rategals/hr

Given data is as follows: The capacity of the tub is given as 60 gallons and the output when wide…

Answered: a-1. What is the maximum rate (gallons…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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17- Consider a system in which service time is exponentially distributed. If the average service time becomes twice, the coefficient of variation of service time becomes twice as well. True False
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Ashley’s department store in Kansas City maintains a successful catalog sales department in which four clerk takes orders by telephone. If four clerks are occupied on four-lines, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party that has waited for the longest is transferred and answered first. Calls come in an average of 3 minutes. The clerk is capable of taking an order in an average of 10 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. a. λ= μ= b. Calculate P0 c. How many callers, on average, are waiting to place an order under the current operating system?
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.6 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) ?=?=Lq=L=Wq= hW= hPw= (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wq (in minutes) = min, which is than the desired wait time, so the goal met. What action do you recommend? (Select all that apply.) Increase the mean service rate.Decrease the mean service rate.There is no need to change the current operating parameters.Hire another…

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