A professor needs help from three student helpers to complete four tasks. Each student can only perform a single task. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below. Task 1 Task 2 Task 3 Task 4 Student A 90 50 40 20 Student B 120 60 30 50 Student C 110 60 50 70 The professor wants to assign tasks such that the time is minimized and as many tasks get done as possible (but remember, one task per student). Which of the following represents the constraint for the assignment for student A? O XA1 + XA2 + XA3 + XA4 =0 O XA1 + XA2 + XA3 + XA4 = 1 O XA1 + XA2 + XA3 + XA4 > 1 O XA1 + XA2 + XA3 + XA4 < 1
A professor needs help from three student helpers to complete four tasks. Each student can only perform a single task. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below. Task 1 Task 2 Task 3 Task 4 Student A 90 50 40 20 Student B 120 60 30 50 Student C 110 60 50 70 The professor wants to assign tasks such that the time is minimized and as many tasks get done as possible (but remember, one task per student). Which of the following represents the constraint for the assignment for student A? O XA1 + XA2 + XA3 + XA4 =0 O XA1 + XA2 + XA3 + XA4 = 1 O XA1 + XA2 + XA3 + XA4 > 1 O XA1 + XA2 + XA3 + XA4 < 1
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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Transcribed Image Text:A professor needs help from three student helpers to complete four tasks.
Each student can only perform a single task. The first task is grading; the
second is scanning; the third is copying, and the fourth is organizing student
portfolios. The estimated time for each student to do each task is given in the
matrix below.
Task 1 Task 2 Task 3 Task 4
Student A 90
50
40
20
Student B 120
60
30
50
Student C 110
60
50
70
The professor wants to assign tasks such that the time is minimized and as
many tasks get done as possible (but remember, one task per student). Which
of the following represents the constraint for the assignment for student A?
O XA1 + XA2 + XA3 + XA4 = 0
O XA1 + XA2 + XA3 + XA4 = 1
O XA1 + XA2 + XA3 + XA4 > 1
O XA1 + XA2 + XA3 + XA4 < 1
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