construct the dual model then find the dual optimal solution

Reddy Mikks produces both interior and exterior paints from two raw materials, M1 and M2. The following table provides the basic data of the problem: Tons of raw material per ton of Maximum daily availability Exterior Interior paint paint Raw Material, M1 6 4 24 Raw Material, M2 1 2 6 Profit per ton ($1000) 5 4 A market survey indicates that the daily demand for interior paint cannot exceed that of exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. Reddy Mikks wants to determine the optimum product mix of interior and exterior paints that maximize the total daily profit