.A manufacturer produces two different models: X and Y, of the

same products. Model X makes a contribution of dollar 50 per unit and model Y, dollar 30 per unit towards total profit. Raw materials R1 and R2 are required for production. At least 18 kg of R1 and 12 kg if R2 must be used daily. Also, at most of 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?