Question 2

Dlomo business manufactures school bags, and suitcase. Each school bag yields a profit of R 40, while each Suitcase yields R 110. To manufacture one school bag, it requires 30 minutes of cutting and 20 minutes of stitching. And one suitcase requires 23 minutes of cutting and 16 minutes of stitching. 8 hours are available for cutting, but only 6 hours are available for stitching.

Required:

1.1 . Formulate the objective function, as an LP model to maximize the profit, use 1 to represent the number of School bag, and 2 the number of Suitcase (1)

1.2. Construct the constraints equations and the non-negativity conditions (4)

1.3. Calculate the values 1 and 2 and determine the graphically the feasible region (5)