6 6 RS Question 2 (Marks:20) The accountant of Royal Products provided the following information for purposes of determining the optimal product mix Product King (K) Product Queen (Q) Marginal income per unit R30 R36 Machine hours required per unit Marginal income per machine hour R6 Ranking in terms of machine hours 2nd Labour hours required per unit 6 Marginal income per labour hour R6 Ranking in terms of labour hours Annual demand for product in units 12 000 15 000 Labour hours available per annum 65 000 Machine hours available per annum 82 000 3 R10 14 Required: Determine the optimal product mix by means of the application of linear programming techniques. (Hint: Start with your objective function and all necessary constraints.)