a) Given the following Table: Name A B D E F | G H I J Activities 1-2 1-3 1-4 2-5 3-5 3-6 3-7 4-6 5-7 6-8 7-8 Node Duration Days 2 7 8 3 9 10 4 60 2 5 9 i) Set up a network diagram. [4 Marks] ii) Derive the Earliest start and earliest finish times. [4 Marks] iii) Compute the Latest start and latest finish times. [4 Marks] b) Easton Electronics Co produces 2000 TV sets in a year for which it needs an equal number of tubes of a certain type. Each tube costs Ksh. 100 and the cost to hold a tube in a stock for a year is Ksh. 24. Besides the cost of placing an order is Ksh 1,500, which is not related to its size. Now if an order for 2000 tubes is placed, only one order per annum is required. When 1000 units are ordered for, two orders in a year are needed, while if 500 units are needed are ordered to be supplied, then a total of four orders per annum are required. i) Compute the total annual ordering cost. [4 Marks] ii) Derive the total annual holding cost. [4 Marks] iii) Calculate the total annual inventory cost. [5 Marks]