1) A large textile firm has two manufacturing plants, two sources of raw material, and three market centers. The transportation costs ($/ton) between the sources and the plants and between the plants and the markets are as follows: Plant Source A B 1 1 1.5 2 2 1.5 Market 1 2 2 3 3 Plant A 4 st N 1 B 3 4 2 Ten tons are available from source 1 and 15 tons from source 2. The three market centers require 8 tons, 14 tons, and 3 tons. The plants have unlimited processing capacity. Formulate the problem of finding the shipping patterns from sources to plants to markets that minimizes the total transportation cost