Morningside Limited uses RX345 at its four plants to manufacture aircraft lubricants. There are five suppliers who can supply RX345 to Morningside Limited. All five suppliers can produce RX345 in sufficient quantities to accommodate the needs of each plant. The amount of RX345 needed at each plant and the price charged by each supplier are as follows: Plant Demand (in 100 litres) Supplier Price 100 litres ($s) 1 600 83 2 700 2 85 3 750 3 86 4 500 4 87 5 80 The cost per one hundred litres for shipping from each supplier to each plant is provided below: Plant Supplier 2 3 4 10 12 13 9 2 11 10 12 3 14 15 12 13 4 16 11 13 14 5 15 17 14 15 Morningside would like to keep its business diversified among suppliers so that the company will be less affected by the supplier problems (e.g. labour strikes or resource availability). Company policy is that each plant should have a separate supplier. Due to some contractual requirements supplier 2 cannot supply to plant 1. Formulate a linear programming model for this