A regional utility has excess generating capacity in areas A, B and C; it has contracts to supply power to the aggregate loads areas X, Y and Z, as indicated in the following tables: Transmission lines exist between areas as indicated in the table below. Power can be transmitted on existing lines without cost, but there is a power loss associated with each transmission, as indicated in the next table: 1. Set-up the linear programming problem that minimizes the cost while supplying power to all loads. A regional utility has excess generating capacity in areas A, B and C; it has contracts to supply power to the aggregate loads areas X, Y and Z, as indicated in the following tables: Transmission lines exist between areas as indicated in the table below. Power can be transmitted on existing lines without cost, but there is a power loss associated with each transmission, as indicated in the next table: 1. Set-up the linear programming problem that minimizes the cost while supplying power to all loads