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# Please answer questions 14-15 & 14-22 in the attached file (14-15) The wheat harvesting season in the American Midwest is short, and most farmers

To help the cooperative get a handle on the problem of lost time while trucks are waiting in line or unloading at the bin, find the
(b) Average time per truck in the system.
(c) Utilization rate for the bin area.
(d) Probability that there are more than three trucks in the system at any given time.
(e) Total daily cost to the farmers of having their trucks tied up in the unloading process.
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. Would it be worth the cooperative's while to enlarge the storage area?
(14.22) Juhn and Sons Wholesale Fruit Distributors (of Problem 14-19) are considering building a second platform or gate to speed the process of loading their fruit trucks. This, they think, will be even more efficient than simply hiring another loader to help out the first platform (as in Problem 14-20). Assume that workers at each platform will be able to load 4 trucks per hour each and that trucks will continue to arrive at the rate of 3 per hour. Find the waiting line's new operating conditions. Is this new approach indeed speedier than the other two considered?

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