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The next four questions concern the swim team at Blacksburg High School (BHS). The coach of the team must choose 4 swimmers for the 800 meter medley relay team. The medley relay consists of four strokes – backstroke, breaststroke, butterfly, and freestyle. The Excel spreadsheet illustrating the solution to this problem, as well as the coach’s expected times of each of her top 6 swimmers, are pasted below:

The next four questions concern the swim team at Blacksburg High School (BHS). The coach of the team must choose 4 swimmers for the 800 meter medley relay team. The medley relay consists of four strokes – backstroke, breaststroke, butterfly, and freestyle. The Excel spreadsheet illustrating the solution to this problem, as well as the coach’s expected times of each of her top 6 swimmers, are pasted below:

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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The next four questions concern the swim team at Blacksburg High School (BHS). The coach of
the team must choose 4 swimmers for the 800 meter medley relay team. The medley relay
consists of four strokes – backstroke, breaststroke, butterfly, and freestyle. The Excel spreadsheet
illustrating the solution to this problem, as well as the coach’s expected times of each of her top
6 swimmers, are pasted below:  

 

A B D E F Stroke Backstroke Breaststroke Butterfiy Freestyle Assigned 1 Swirmmer Ann Craig Ernie Grace 1 Lauren 8 Michael Phelps Assigned 10 11 Total Time = 12 7 1 1 1 1 1 1 12.82 13 Expected times (minutes) 14 15 16 Stroke Backstroke Breaststroke Butterfly Freestyle 3.75 4.02 4.15 3.82 4.24 1.80 Swirnmer 3.45 4.20 Ann Craig Ernie Grace 4.35 4.10 3.95 17 3.90 4.25 3.55 4.20 2.12 4.15 3.80 3.75 18 19 3.95 20 Lauren 3.85 3.70 1.72 21 Michael Phelps 1.85 23456
Transcribed Image Text:A B D E F Stroke Backstroke Breaststroke Butterfiy Freestyle Assigned 1 Swirmmer Ann Craig Ernie Grace 1 Lauren 8 Michael Phelps Assigned 10 11 Total Time = 12 7 1 1 1 1 1 1 12.82 13 Expected times (minutes) 14 15 16 Stroke Backstroke Breaststroke Butterfly Freestyle 3.75 4.02 4.15 3.82 4.24 1.80 Swirnmer 3.45 4.20 Ann Craig Ernie Grace 4.35 4.10 3.95 17 3.90 4.25 3.55 4.20 2.12 4.15 3.80 3.75 18 19 3.95 20 Lauren 3.85 3.70 1.72 21 Michael Phelps 1.85 23456
1. Let xij = 0 indicate that swimmer i does not swim stroke j and xij = 1 indicate that swimmer i does swim stroke j (where j ="ba" indicates backstroke, etc.). Which of the following constraints represents the assignment for Craig? A) XC.ba + XCbr + XC.bu + XCfr 21 B) xCba + XCbr + XC,bu + XC.r < 0 C) xCba + XChr + XC,bu + XCr =0 D) XCba + XChr + XC,bu + XC.fr < 1 2. Which stroke does Michael Phelps swim? A) Backstroke B) Breaststroke C) Butterfly D) Freestyle 3. The formula for Total Time in cell B11 is: A) = sumproduct(B3:E8, B16:E21) B) = sum(B16:E21) C) = sumproduct(B3:E8) D) = sum(B21:E21)
Transcribed Image Text:1. Let xij = 0 indicate that swimmer i does not swim stroke j and xij = 1 indicate that swimmer i does swim stroke j (where j ="ba" indicates backstroke, etc.). Which of the following constraints represents the assignment for Craig? A) XC.ba + XCbr + XC.bu + XCfr 21 B) xCba + XCbr + XC,bu + XC.r < 0 C) xCba + XChr + XC,bu + XCr =0 D) XCba + XChr + XC,bu + XC.fr < 1 2. Which stroke does Michael Phelps swim? A) Backstroke B) Breaststroke C) Butterfly D) Freestyle 3. The formula for Total Time in cell B11 is: A) = sumproduct(B3:E8, B16:E21) B) = sum(B16:E21) C) = sumproduct(B3:E8) D) = sum(B21:E21)
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