Problem 1 (input data X0 and Y0 are given in appendix) As a logistics manager, you are currently deciding on the location of your company's new plant in the Kingdom. You have located your prominent suppliers of raw materials and the markets that you need to serve on a two dimensional graph. Moreover, the production and the sales departments provided the annual volumes needed from each suppliers and to supply each markets. Assume the transportation cost per unit of raw materials and finished goods is equal to 0.5 SR per kilometers. The detailed input data are shown below. Suppliers Raw Materials Markets Jubail Yanbu Khamis Mshait Riyadh Jeddah Dammam Tabuk Volume (units) 450 320 640 300 250 200 101 Xe cardinale) 600 300 200 300 900 650 900 Yn coordinate 800 1000 700 600 800 900 1000 1. Starting with the plant at XO, YO location, compute the total transportation cost given this initial location. 2. Starting with the plant at XO, YO location, do a single iteration of location algorithm. Find the new plant location XI, YI. 3. Find the new total transportation cost of XI, Y1. Problem 1 YO 413 261