The accountant of Mila Products provided the following information for purposes of determining the optimal product mix: Product K Product M Marginal income per unit R30 R35 Machine hours required per unit 5 hours 5 hours Labour hours required per unit 3 hours 6 hours Annual demand for products in units Labour hours available per annum Machine hours available per annum 12 000 units 15 000 units 66 000 hours 85 000 hours Q.3.1 Determine the objective function and optimal product mix by means of the application of linear programming techniques. [Show all workings. Round your answers to two decimal places, where applicable.] (16) Q.3.2 Solve the objective function with the optimal product mix calculated in Q.3.1. (4) Q.3.3 Discuss the assumptions that apply when using linear programming. (5)