2. Question 2 XYZ Ltd manufactures plastic outside storage boxes. They produce four products for different complexity: Product A, Product B, Product C and Product D. The company has just secured an order from a major retailer for the following quantities: 80 boxes of Product A, 80 boxes of Product B and 50 boxes of Product C. This is the first order that has been received from this retailer, so it is essential that they are able to produce these volumes. Due to other production activities, it has become clear to the management of XYZ Ltd that the resources required for producing boxes will be restricted in the following month. Plastic will be limited to 6,002.5 kgs, paint to just 250 litres and only 2,000 labour hours will be available. Details of the products and their resource requirements are as follows: per box A D- Selling price 72 90 1124 1424 Direct labour (@ 12 per hour) 18 30 364 422 Direct materials: Plastic (@4.8 per kg) 242 362 50.404 64.82 Paint (@15 per litre) 3.00 3.604 4.80 7.504 Fixed overheads 7.80 9.75 11.70 14.634 Profit 19.2 10.654 9.10 13.07 Maximum monthly demand 2002 1802 1704 1504 . Required: There are a number of techniques for dealing with situations where one or more resources required by a business are limited in supply (known as limiting factor problems). + (a) Identify and briefly explain THREE methods for dealing with limiting factor problems. Suggest which method would be appropriate for the situation of XYZ Ltd, given the information provided above, supporting your answer with the necessary calculations. (30 marks (b) Calculate the contribution per box of each type of product. (6 marks) (c) Using the above information, derive the optimal monthly production plan for XYZ Ltd, clearly demonstrating that the accepted order will be met. (14 marks)