A professor needs help from 3 student helpers to complete 4

A professor needs help from 3 student helpers to complete 4 tasks. 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. Student A 90 50 40 20 Student B 120 60 30 50 Student C 110 60 50 70 Which of the following constraints represents the assignment for student A?

Solution

We are given that A professor needs help from 3 student helpers to complete 4 tasks.

The first task is grading;

the second is scanning;

the third is copying, and

the fourth is organizing student portfolios.

The matrix is,

XA1 +XA2 + XA3 + XA4 = 0
XA1 +XA2 + XA3 + XA4 = 1
XA1 +XA2 + XA3 + XA4 1
XA1 +XA2 + XA3 + XA4 0