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A young couple, Eve and Steven, want to divide their main household tasks (shopping, cooking,
dishwashing, and laundering) between them so that each has two tasks, but the total time they
spend on household duties is kept to a minimum. Their efficiencies on these tasks differ, where
the following table gives the time each would need to perform the task: a) (15 points) Formulate
a BIP (Binary Integer Programming) model for this problem. (Hint: obviously, you need to
define eight binary decision variables.) b) (15 points) Use Python to solve this problem.

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  • 1. A young couple, Eve and Steven, want to divide their main household tasks (shopping, cooking, dishwashing, and laundering) between them so that each has two tasks, but the total time they spend on household duties is kept to a minimum. Their efficiencies on these tasks differ, where the following table gives the time each would need to perform the task: a) (15 points) Formulate a BIP (Binary Integer Programming) model for this problem. (Hint: obviously, you need to define eight binary decision variables.) b) (15 points) Use Python to solve this problem.