A multinational company has two factories that ship to three regional warehouses. The costs of transportation per

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A multinational company has two factories that ship to three regional warehouses. The costs of transportation per unit are:

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Factory F2 is old and has a variable manufacturing cost of Rs 20 per unit. Factory F1 is modern and produces for Rs 10 per unit. Factory F2 has a monthly capacity of 250 units, and Factory F1 has a monthly capacity of 400 units. The requirements at the warehouses are:

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How should each factory ship to each warehouse in order to minimise the total cost? Formulate this problem as a linear programming model. Do not solve it.

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