5 a. A Chef bakes and decorates cakes in a two-stage process. The cakes are baked and once cooled they are then decorated based on the clients' requirements. The Chef received seven orders for fully decorated cakes and has documented the orders with respective processing times for baking and decorating, as shown in Table 7 that follows:. Table 7. Cake Job Orders received by the Chef with the respective processing times for Baking and Decorating Cake Job Order Baking Processing Time Decorating Processing Time A 2 1 B 8 5 C 4 6 D 9 7 E 7 8 F 9 6 3 5 (i) Using Johnson's Rule, determine the optimum sequence for processing the cake job orders through the baking and decorating stages. (6 Marks) (ii) Illustrate the flow (throughput) times to complete the baking and decorating on a timeline chart. (2 Marks) (iii) Illustrate the idle times on the timeline chart, identifying which idle time is useful and which is not useful. (2 Mark) b. Five Sales Executives have been told by their company Heavy Machines Limited (HML) that each sales executive, will be relocated to work at one of five branches of their company, in the Caribbean. The cost to relocate a sales executive at each of the five branches is shown in Table 8 below: Table 8. Relocation Matrix for HML. Sales Branch Executive Jamaica Antigua/Barbuda Trinidad Barbados St. Lucia & Tobago Zenk Murt $2,550 $2,300 $2,700 $2,300 $2,400 Rangle Tang $2,400 $2,700 $2,800 $2,600 $2,400 Atil Heglam $2,600 $2,400 $2,700 $2,500 $2,400 Justop Brelim $2,400 $2,500 $3,000 $2,400 $2,500 Mesk Lathim $2,400 $2,300 $2,500 $2,800 $2,700 The costs shown in Table 8, are in Eastern Caribbean (EC) dollars. (i) Determine the optimal relocation of the five Sales Executives. (ii) Compute and state the total minimum cost. (9 Marks) (1 Marks) TOTAL 20 MARKS