PLEASE SOLVE MANUALLY NOT USING EXCEL OR SOLVER

QUESTION THREE

A company deals with three product , and . These products pass through three departments 1, 2 and 3. Suppose product 1 requires 2 hours in department 1, 3 hours in department 2. And product B requires 3 hours, 2 hours and 2 hours in department 1,2 and 3. Product C requires 4 hours in department 2 and 5 hours in department 3 respectively. The profit contribution of A, B and C are $3 per unit $5 per unit and $4 per unit respectively. Given that the company allocated 8 hours of department 1 and 15 of department 2 and 10 of department 3. (a) Formulate the LPP and state the assumption you made. [5 marks] (b) Find the optimal product mix for maximizing the profit and interpret. [10 marks]