01 May Question: 4. McTavish Cleaning Inc. provides a basic house-cleaning service to stressed-out trainee executi…
4. McTavish Cleaning Inc. provides a basic house-cleaning service to stressed-out trainee executives. This basic house-cleaning service includes four components, namely, vacuuming, kitchen-cleaning, bathroom-cleaning, and general straightening-up. McTavish employs a total of five maid-persons and wants to allocate four of them to its basic house-cleaning service with the objective of minimizing the total time it takes to provide the service. The time (measured in hours) it takes each maid-person to provide each component is listed in the following table: Vacuum Kitchen BathroomStraighten-Up Harold Betsy Mildred Jennifer George 2 4 4 i) Use the Hungarian Method to determine how McTavish should allocate their staff in order to minimize the total time that it takes to provide the basic house-cleaning service. i) What is the minimum total time that it takes to provide the basic house-cleaning service? iii) Would your answers to parts i) and ii) change if George were to refuse to do any more vacuuming? If so, how?
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