Problem 1: We need to build up to 6 power plants (L1 to L6) to serve 7 communities (C1 to C7). The cost to build a power plant is 6.5 million (AED). The maximum capacity of each plant is 11 million watts. The demand of each community is given below: Community 1 2 3 4 5 6 7 Demand in millions watt 3 4 6 4 5 2 4 The benefits (in $/watt but sometimes it is a loss) from serving the community is given below: Location C1 C2 C3 C4 C5 C6 C7 L1 4 4.5 2.5 1.5 3.5 4.2 -0.5 L2 4 4.5 2.5 0.5 1 0.5 -3.5 L3 3.5 5 4 1.5 4.5 3.5 0 L4 1.3 3 5 1.8 5.5 3.3 1.3 L5 0.5 1 1.5 5.5 4 5 3 L6 -1 0 1.5 4.5 4 3.3 2 Find which power plants should be built: