Nursing Assignment: Channel Queuing Model

The total customer waiting time is  hours when there is only one clerk, and it will be reduced to only  hours if there are four clerks. (Please only enter an integer and include no units.)
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The total wait cost is  dollars when there is only one clerk, and it will be reduced to only dollars if there are four clerks. (Please only enter an integer and include no units.)

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The total cost of hiring is only  dollars when there is only one clerk, and it will be increased to  dollars if there are four clerks. (Please only enter an integer and include no units.)

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To minimize the total expected cost based on your calculations above, the optimal number of clerks to have on duty each Sunday is ___________.

This part of the question is based on the following information.

The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer’s benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays, the cost of truck rental, and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $18 per hour. The storage bin is open and operated 16 hours per day, 7 days per week, during the harvest season and is capable of unloading 35 trucks per hour according to an exponential distribution. Full trucks arrive all day long (during the hours the bin is open) at a rate of about 30 per hour, following a Poisson pattern.

The cooperative, as mentioned, uses the storage bin only two weeks per year. Farmers estimate that enlarging the bin would cut unloading costs by 50% next year. It will cost $9,000 to do so during the off season.

This part of the question is based on the following information.

When set at the standard position, Autopitch can throw hard balls toward a batter at an average speed of 60 mph. Autopitch devices are made for both major- and minor-league teams to help them improve their batting averages. Autopitch executives take samples of 10 Autopitch devices at a time to monitor these devices and to maintain the highest quality. The average range is 3 mph. Using control chart techniques, determine control-chart limits for averages and ranges for Autopitch.

Please use the attached table or Excel QM to answer the following questions.

This part of the question is based on the following information.

Colonel Electric is a large company that produces light bulbs and other electrical products. One particular light bulb is supposed to have an average life of about 1,000 hours before it burns out. Periodically the company will test 5 of these and measure the average time before these burn out. The attached table gives the results of 10 such samples.