2. Practical questions: operations modelling (60 Marks) a) Based on the specification of your project in Lab 1, please propose a solution in Witness to simplify your shopfloor set-up (i.e. remove unnecessary entities) and smooth your post-split production process (i.e. less blockage) but not to compromise your current productivity. Draw a cross-functional flowchart to demonstrate the new production design. Upload this new model in your ZIP file and name it as MOD1 (10 Marks). b) Based on MOD1, if the cycle times of your oven are uniform (15,19) for I-type, normal (20,3) for II-type and uniform (20,27) for III-type. Please use appropriate method to identify when your system will reach a steady-state. Detailed analysis is expected to support your argument (10 Marks). c) Based on MOD1, use appropriate analytical method(s) to identify the bottleneck of your model and give detailed analysis (10 Marks). d) Based on MOD1, assuming one of your three ovens is broken down, please propose a backup plan (based on your current resource) to continue your production and try to make the corresponding disruption as little as possible. Detailed analysis is expected to support your plan and your new model should be named as MOD2 in your ZIP file (10 Marks). e) Based on MOD2, all the paint stations are now becoming manual machines and you are given 10000 pcs P1, 10000 pcs P2, 10000 pcs P3, and 10000 pcs P4 to be planned. The initial labour source every 480 minutes, all labours' energy level will be reset back to 100%. It consumes 2% energy /working minute for each labour and every one minute idle time can help a labour restore 0.5% energy. If any job will run out of a labour's 100% energy, he/she will refuse to carry out any further work until it is reset to 100% and one major unsatisfaction will be marked. When any labour has accumulated 3 major satisfactions, he or she will resign from your company and it will cost you 5000 to recruit a replacement. If I-type product can be sold for 800/pc, II-type product can be sold for 950/ pc and III-type can be sold for 1200/pc, please advise the optimal labour size and optimal number of I-type, II-type and III-type products to be produced based on your given inventory (i.e. 10000 pcs P1, 10000 pcs P2, 10000 pcs P3, and 10000 pcs P4). You should save your optimised model as MOD3 in your ZIP file. Detailed analysis is required and please critically reflect the implications of your solution with respect to real-life operations (20 Marks). Hint: 1) ISTATE(element name) function can return you the state of a specific element when this function is called. 2) Use IF action together with AND can verify multiple conditions at the same time. For example: IF(A>=5)AND(B>=4)C=C+1