1ii) a) With respect to linear programming explain what is meant by Constraints ii. The objective function (10 marks) b) A factory produces batches of tinned fruit. It produces tinned apples and tinned pears. The production involves two processes cutting and canning. The process times for a standard batch are: - Cutting Canning Apples 1.5 1 hour hours Pears 2 hours 3 hours There are 2400 hours available for each process. The apples are subject to a maximum demand of 1200 tins. The contribution to fixed costs and profit is $200 per batch of apples and E300 per batch of pears. i. Formulate this problem as a linear program. (50 marks) ii. Using the graphical method, find the optimum solution and the total contribution to fixed costs and profit that this would produce. (40 marks)