Reddy Mikks produces exterior paint and interior paint, from two raw materials M1 and M2. The table below provides the basic data of the problem.

Product (paint) Available

Exterior Interior Daily (tons)

M1 6 4 24

M2 1 2 6

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Profit per ton ("1000) 5 4

A market survey restricts the maximum daily demand of interior paint to 2 tons and the daily demand for interior paint cannot exceed that of exterior paint by more than 1 ton. The problem is to find the most profitable product mix.