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A young couple, Aslı and Kerem, 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. Formulate a binary IP model for this problem (just formulate the problem, do not solve). Please define decision variables, an objective function, constraints, and sign restrictions (if any

A young couple, Aslı and Kerem, 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. Formulate a binary IP model for this problem (just formulate the problem, do not solve). Please define decision variables, an objective function, constraints, and sign restrictions (if any

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A young couple, Aslı and Kerem, 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. Formulate a binary IP model for this problem (just formulate the problem, do not solve). Please define decision variables, an objective function, constraints, and sign restrictions (if any).

 

 

Time needed per week (hours) Cooking Marketing Dishwashing Laundry 2.9 Aslı 4.5 7.8 3.6 Kerem 4.9 7.2 4.3 3.1
Transcribed Image Text:Time needed per week (hours) Cooking Marketing Dishwashing Laundry 2.9 Aslı 4.5 7.8 3.6 Kerem 4.9 7.2 4.3 3.1
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