Question: Please solve it by using the hint not another way. 1(40pts) A young couple, Eve and Steve, want to divide their household chores between them

Please solve it by using the hint not another way.

1(40pts) A young couple, Eve and Steve, want to divide their household chores between them so that each has at least two but no more than three tasks, and they agree on that the total time they spend on the house chores is kept to a minimum. In addition, no one wants to end up doing both cooking and dishwashing. Their efficiencies on the tasks differ, where the time in hours each would need to perform the task is given in the table below: Time Needed Per Week Bathroom Cleaning Vacuuming Laundry Cooking Dishwashing Eve 1.3 Steve 1 3.5 (a) Formulate a BIP model for this problem. (Hint: Let I: = 1 for Eve to do task i and 2: = 0 for Steve to do it.) 2.5 7

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