A manufacturer produces two different models; X and Y, of the same product .The raw materials r₁ and r₂ are required for production. At least 18 Kg of r₁and 12 Kg of r₂ must be used daily. Almost at most 34 hours of labor are to be utilized .2Kg of r₁ are needed for each model X and 1Kg of r₁ for each model Y. For each model of X and Y, 1Kg of r₂ is required. It needs 3 hours to manufacture model X and 2 hours to manufacture model Y. The profit realized is $50 per unit from model X and $30 per unit from model Y. How many units of each model should be produced to maximize the profit?