The Reddy Mikks Company owns a small paint factory that produces both interior and exterior house paints for wholesale distribution. Two basic raw materials, A and B, are used to manufacture the paints. The daily requirements of the raw materials per ton of interior and exterior paints, and their availability per day are summarized in the following table. Exterior Interior Max availability (tons)
Raw material A 1 2 6
Raw material B 2 1 8

A market survey has established that the daily demand for interior paint cannot exceed that of exterior paint by more than 1 ton. The survey also shows that the maximum demand for interior paint is limited to 2 tons daily. The wholesale price per ton is $3000 per exterior paints should the company produce to maximize gross income?