Castille Ltd manufactures two products - Product X and Product Y. The manager of the firm has collected the following data on the products: Product X Product Y $90 Selling price per unit Variable costs per unit Direct material Direct labour $85 30 25 18 45 30 Manufacturing overhead Production requirement (per unit Product MaterialMachinery kilograms Labour hours 20 ours 25 20 20 30 The manager has also determined that during each day, 600 kilograms of material, 1,000 machine hour:s and 1,200 labour hours are available for the production of two products Required: (a) Formulate the objective function to maximize the contribution margin. (1 mark)