Q 3: Consider the duty-machine balance assignment problem given in table 1; the values are the time of work in hours. (10) Marks Machine 1 25 28 Machine 2 35 31 Duty 1 Duty 2 Duty 3 Duty 4 Duty 5 Machine 3 55 36 26 46 44 Machine 4 29 42 38 43 18 Machine 5 32 50 24 42 30 30 38 27 26 46 39 i) ii) Write the zero-one mathematical model of the problem. Use Hungarian method to solve the problem; find the assignment of duties to machines and the minimum time of work