Water is conveyed from alternative sources 1–3 to alternative users A–E. The demands for a...

Water is conveyed from alternative sources 1–3 to alternative users A–E. The demands for any of the five users (A–E) can be met by any combinations of sup­ply from the three sources (1–3). The water demands for Users A–E are 1, 2, 3, 8, and 10 million cubic meters (Mm3), respectively. The amount of water available from sources 1–3 are 4, 8, and 12 Mm3, respectively. The unit costs in dollars per million m3 ($/Mm3) for supplying water from each source to each user are pro­vided below.

Use LP to determine the allocation of water from each source to each user that meets demands at minimum cost.