12. A certain firm has two plants. Orders from four customers have been received. The number of units ordered by each customer and the shipping cost from each plant are shown in the following table:

Each unit of the product must be machined and assembled. These costs, together with the capacities at each plant, are shown below:

Formulate a linear programming problem to minimise cost. (MBA, Delhi, December, 1993)

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Shipping cost (Rs)/unit Customer Units ordered From plant 1 From plant 2 ABCD 500 15 40 300 20 30 1,000 30 25 200 35 20