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You have 10 identical cartons each holding 10 water bottles. All bottles weigh 10 oz. each, except for one defective carton in which each of the 10 bottles weighs on 9 oz. only. A scale is available for weighing. (a) Suggest a method for locating the defective carton. *(b) What is the smallest number of times the scale is used that guarantees finding the defective carton? (Hint: You will need to be creative in deciding what to weigh.

You have 10 identical cartons each holding 10 water bottles. All bottles weigh 10 oz. each, except for one defective carton in which each of the 10 bottles weighs on 9 oz. only. A scale is available for weighing. (a) Suggest a method for locating the defective carton. *(b) What is the smallest number of times the scale is used that guarantees finding the defective carton? (Hint: You will need to be creative in deciding what to weigh.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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You have 10 identical cartons each holding 10 water bottles. All bottles weigh 10 oz. each, except for one defective carton in which each of the 10 bottles weighs on 9 oz. only. A scale is available for weighing. (a) Suggest a method for locating the defective carton. *(b) What is the smallest number of times the scale is used that guarantees finding the defective carton? (Hint: You will need to be creative in deciding what to weigh.)
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