The project detailed in the table below is contracted for delivery in 11 weeks, with a penalty clause requiring the contractor to pay a penalty of $5000 for each week late. The project must therefore be expedited. The possible reductions and associated costs are shown in the table. Times in the table are given in weeks. Only activity 5 can be expedited two weeks. Activities 1 and 9 cannot be expedited. The other activities can be expedited one week. (a) Draw the CPM network and identify the critical path. How many weeks will the project require under normal operations? What is the total project cost with penalty included? (b) How could the project time be reduced to 12 weeks and what is the total project cost including penalty? (c) How could the project time be reduced to 11 weeks and what is the total project cost? (d) What is the lowest cost decision, 12 weeks or 11 weeks? Activity 1 2 5789SAWN 3 4 6 Immediate Predecessor 1123 3 3 4,5 7,8 Normal Time 0 4 2 5 3 Expedited Time 4334AANWO 2 Normal Cost ($) 0 5,000 3,000 7,000 9,000 6,000 4,000 8,000 500 Expedited Cost ($) 0 6,900 3,000 9,200 13,000 7,800 6,500 11,000 500