Question 1: Assignment Model (Minimization Problem)A company wants to assign four machines (M1, M2, M3, and M4) to four different tasks (T1,T2, T3, and T4).The cost matrix (in dollars) for assigning each machine to a task is given below:M1M2M3M4Task:W1|w2W3DemandTask:a) Formulate the assignment problem as a minimization model.T1b) Use the Hungarian method to determine the optimal assignment of machines to tasks.c) What is the minimum total cost of the assignment?Question 2: Transportation Model (Minimization Problem)from each warehouse to each outlet are given below:9ActivityA5A company has three warehouses (W1, W2, and W3) and four retail outlets (R1, R2, R3, andR4).C7The supply capacities of the warehouses, the demand requirements of the retail outlets, andthe transportation costs per unit| R1D2G20HTask:R?31T22a) Formulate the transportation problem.43086DescriptionFoundationFramingElectricalQuestion 3: Network Analysis (Project Scheduling)PlumbingSite preparationb) Use the North-West Corner Method to obtain the initial feasible solution.d) Determine the minimum transportation cost.R32RoofingInterior FinishingInspection525T3A construction project consists of the following activities with their dependencies anddurations (in days):7|3e) Determine the slack time for each activity.A<