1. An administrator of a small hospital is contemplating a relocation of the hospital's x-ray facility Currently, the x-ray department is located such that only two patients can be waiting for the x-ray machine at one time. This has resulted in emergency patients being sent back to emergency and other in-patients being sent back to their rooms. The potential new location would double the amount of waiting space available. Arrivals to x-ray occur in a Poisson manner at a rate of six per hour. On the average, it takes about eight minutes to service an x-ray request. These service times have been shown to be exponential. Would you recommend that the x-ray facility be relocated? Why? 2. MAXIMAX Corporation has a one-year contract to supply motors for all refrigerators produced by the Arctic Corporation Arctic manufactures the refrigerators in four locations around the country: Tuguegarao, Bicol Mindoro and Solano. Plans call for the following number in thousands) of refrigerators to be produced at each location: 50 in Tuguegarao, 70 in Bicol, 60 in Mindoro, and 80 in Solano. MAXIMAX has three plants that are capable of producing the motors. The plants and their production capacities are: Manila with 100, Cebu with 100, and Bacolod with 150. Because of varying production and transportation costs, the profit that MAXIMAX earns depends on which plant produced the motors and which destination they were shipped to. The following table gives the accounting department's estimates of the profit per unit: Tuguegarao Shipped to Bicol Mindoro 11 Solano Produced in Manila Cebu Bacolod 13 20 10 16 Determine how many motors should be shipped from each plant to each destination and the resulting profit