statistical decision

1. A manufacturer produces two different models: X and Y, of the same products. Model X makes a contribution of Birr 50 per unit and model Y, birr 30 per unit towards total profit. Raw materials R1 and R2 are required for production. At least 13 kg of R1 and 12 kg if R; 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? Required: a) Formulate a linear programming model for this problem b] Solve this model graphically