Maren and Eliza use trained monkeys to do homework tasks. They both come up with different approaches that take the same amount of time (100 hrs) for a single monkey but differ when more monkeys are used. With Maren's approach, 5 monkeys can do the task in 28 hours. With Eliza's approach, 5 monkeys do the task in 52 hours. Assume that all monkeys work at the same rate at all times, that time reductions are due to work done in parallel, and that these remarkable animals achieve the best possible speedup. a. What percentage of Maren's task can be done in parallel? (rounded to the nearest 1%) b. What percentage of Eliza's task can be done in parallel? (rounded to the nearest 1%) c. How many of her 5 monkeys could Maren sell and still be faster than Eliza's approach could ever hope to be? (Please deal in whole monkeys.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Maren and Eliza use trained monkeys to do homework tasks. They both come up with different approaches that take the same amount of time (100 hrs) for a single monkey but differ when more monkeys are used. With Maren's approach, 5 monkeys can do the task in 28 hours. With Eliza's approach, 5 monkeys do the task in 52 hours. Assume that all monkeys work at the same rate at all times, that time reductions are due to work done in parallel, and that these remarkable animals achieve the best possible speedup.

a. What percentage of Maren's task can be done in parallel? (rounded to the nearest 1%)

b. What percentage of Eliza's task can be done in parallel? (rounded to the nearest 1%)

c. How many of her 5 monkeys could Maren sell and still be faster than Eliza's approach could ever hope to be? (Please deal in whole monkeys.)

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