LP Module is required using lingo.

South Africa is one of the largest coal producing and exporting countries in the world. A company dealing with coal sources coal from four coalfields-Highveld, Emalehleni, Ermelo and Klip River. The capacities of the four coalfields are: Coalfield Capacity (tons) Highveld 100 Emalehleni 150 Ermelo 200 Kliprivier 180 630 Coal is then transported to four steel plants in Thohoyandou, Cape town, Upington and Port Elizabeth. The demand at each of the four plants is: Plant Demand (tons) Thohoyandoul 100 Cape town 160 210 Upington Port Elizabeth 130 600 The cost of transporting a ton of coal in South African "Rand" between locations are tabulated along with available capacity at coalmines and exact demand requirements at the steel plants. From To (Cost, in Rand 1,000) Thohoyandou Cape town Upington Port Elizabeth Highveld 470 1446 807 1110 Emalehleni 473 1540 927 1200 Ermelo 532 1543 1000 1155 Kliprivier 554 1378 777 1044 Formulate this problem as a linear programming model and solve it using computer