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IE143-SQ10 - NAME University of the Philippines Diliman...

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NAME: University of the Philippines – Diliman Department of Industrial Engineering and Operations Research IE 143 Short Quiz Short Quiz 10 10 out of 10 All answers and relevant solutions should be written on the back of this questionnaire or on the blank area at the bottom of this page. 1. The work area of a company is shown below. Workers, uniformly distributed across the floor, require service from a facility following a Poisson process with a mean of 4 per hour. The facility used to be located outside the area but the company has decided to move the service facility in either Location 1 (L1) or Location 2 (L2). The facility will be manned by just one server, whose service time is exponentially distributed with a mean of 12 minutes. Time wasted by a worker while waiting, being served, or travelling costs the company 5 pesos per hour. Assume that workers always take the shortest rectilinear path to their destinations at a mean speed of 4.8 km per hour and that they cannot pass through walls. a. If the service facility were to be located at L1, what would E(T), the average travel time of a worker
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