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 r1 and 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 takes 3 hours to manufacture a model X and 2 hours to manufacture a 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? Find the optimal solution
