(a). A manufacturing system is shown below. You have four machines; one is to do each of the functions A, B, C and D (Figure Below). There are 3200 minutes available in a week for each operator. You are the manager responsible for the area and you can sell as many of Product X (up to 80) and Product Y (up to 90) that you can manufacture in a week. Fixed costs for the week are 5000. The selling price for Product X is 120 per unit and for product Yis 90 per unit. You are required to maximise the profit for the week. What would you manufacture and what profit would this generate? (12 marks) Raw Material Raw Material 15/Unit Raw Material 20/unit E30/unit Machine A 22 min./ Machine B 27 min./u Machine A 18 min./u Machine 15 min./u Machine C 10 min./u Machine B 20 min./u Machine D 15 min./ Machine D 10 min./ E120/unit 80 U/week 90/Unit 90 U/week Product X Product Y