A young couple, Eve and Steven, want to divide their main household chores (marketing, 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 time each would need to perform the task is given by the following table:

(a) Formulate a BIP model for this problem.
(b) Display this model on an Excel spreadsheet.
(c) Use the computer to solve this model.

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Time Needed per Week Marketing Cooking Dishwashing Laundry Eve 4.5 hours 7.8 hours 3.6 hours 2.9 hours Steven 4.9 hours 7.2 hours 4.3 hours 3.1 hours