A manufacturer produces two difierent models : X and Y, of the same product. Model X generates profit of Rs.50 per unit and model Y generates profit of Rs.30 per unit. Raw materials r₁ and r₂ are required for production. At least 18 kg of r₁ and 12 kg of r₂ must be used daily. Also at most 34 hours of labour are to be utilized. A quantity of 2 kg of r₁ is needed for model X and 1 kg of r₁ for model Y. For each of X and Y,1 kg of r₂ is required. It takes 3 hours to manufacture model X and 2 hours to manufacture model Y. How many units of each model should be produced to maximize the profit?
