Please help me do this hw assignment due at 11:59 EST tonight.

Homework \#3 Name: You must show your work to receive credit for vour answer. (1) Find an optimal assignment of trucks to routes to minimixe the total cost (using the Hungarian Method). Step la: Row sthtraction (show wour stens. e. sec cell 1A) Step Ib Column sideractionn Step 2: Testing for optimal soluticn (show your lines covering the zero entries). What is the minimum number of lines requircd to cover all zeros? Step 3: Revise the opportunity cost table (show your calculation steps) Step 2: Testing for optimal solution (show your lines covering the zerv entries) What is the minimum number of lines required to cover all zeros? Conclusions: Truck 1 to Route Truck 2 to Route Truck 3 to Route Truck 4 to Route Total costs - (show calculation steps). (2) Find as optimal solution for the following transportation problem. The above feasible plan is obtained by applying the Northwest Carner Rale (e. E. 300 from M to Vetc.), and its total cost 350($8)+50(510)+150(512)+250(54)+200(511)+250(514)+511.800. We focus on cell PT (index -9 ). Its closod path is: PT to PB to YB to YT, and back to PT. To increase the quantity in PT, we need to adjust PB down, YB ap, and YT down. Therefore, the nest impreved plan is: Part (d) Find the new TC = (show steps). Part (f) Is the current solution opeimal? Explain (hint see Online Modale 8, p.M8-4). (3) A project was planned using PERT. Its expecied completion time was determined to be 85 days. The variance of the critical path is 49 . What is the probability the project will be completed within 75 days ( 5 decimal places)? Let X= the project cempletion time. P(X )= Please show bow you use the Normal Curve Tahle to obeain your answer in the spuce below. (4) Perform a project management analysis for the data given below to determine ES, EF, L.S, L.F, and slack for each activity, the total project completion time, and the critical path. (a) Draw a network with L,ES,EF,LS, and LF (follow the same format as Figure 11.5 on p.394). (b) Complete the following table (similar in format to Table 11,3 ea p.396). (c) Identify the critical path(s): (d) Based on your analysis, the project completion time is: wecks and the least critical activity is