A food distribution company ships fresh spinach from its four packing plants (Eaglestown, Farrier, Guyton, and Hayesville) to large East-coast cities (Atlanta, Boston, Charlestown, and Dover). The shipping costs per crate, the supply and demand are shown in the table below. Markets Packing Plants Eaglestown Farrier Guyton Hayesville Demand Atlanta $ 6.50 $ 6.00 $ 7.00 $ 8.00 8,000 Boston $ 7.50 $ 6.00 $ 6.00 $ 8.50 9000 Charlestown $ 8.00 $ 4.50 $ 7.50 $ 8.50 11000 Dover $ 8.00 $ 7.50 $ 8.00 $ 7.50 5000 Supply 9,000.00 10,000.00 7,000.00 7,000.00 Formulate a model that will permit the company to meet its demand ant the lowest cost. a) What is the total cost to meet the demands in the four markets? b) How much product is shipped from Hayesville to Boston? c) How much product is shipped from Eaglestown to Charlestown? d) Which of the possible paths (packing plant to market) have no product shipped along that route? A trauma center keeps ambulances at locations throughout the east side of a city in an attempt to minimize the response time in the event of an emergency. The times in minutes, from ambulance locations to population centers are given in the table below. POPULATION CENTERS Ambulance Locations Site 1 Site 2 Site 3 Site 4 East NorthEast 8 9 12 15 Southeast 9 11 14 12 Central 12 10 13 8 12 13 Find the optimal assignment of ambulances to population centers that will minimize the total emergency response time. a) What is the total minimum response time of all ambulances to their assigned population centers? b) To what population center is the Site 1 ambulance location assigned to? c) To what population center is the Site 2 ambulance location assigned to? d) To what population center is the Site 3 ambulance location assigned to? e) To what population center is the Site 4 ambulance location assigned to? 11 9