Formulate the transportation problem using LINGO'S modeling language: Define sets, such as sources, destinations and routes (origin-destination pairs) and solve.

Generate the ranges report in LINGO

A contractor, Susan Meyer, has to haul gravel to three building sites. She can purchase as much as 18 tons at a gravel pit in the north of the city and 14 tons at one in the south. She needs 10, 5, and 10 tons at sites 1, 2, and 3, respectively. The purchase price per ton at each gravel pit and the hauling cost per ton are given in the table below. Hauling Cost per Ton at Site 1 2 3 Pit Price per Ton North South $100 180 $190 110 $160 140 $300 420 Susan wishes to determine how much to haul from each pit to each site to minimize the total cost for purchasing and hauling gravel