Question

A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected?
a. X1 + X2 + X3 + X4 = 1
b. X1 + X2 + X3 + X4 = 1
c. X1 + X2 + X3 + X4= 1
d. X1 + X2 + X3+ X4= 0

Answer 1

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. $X_1+X_2+X_3+X_4=1$

b. $X_1+X_2+X_3+X_4\leq 1$

c. $X_1+X_2+X_3+X_4\geq 1$

d. $X_1+X_2+X_3+X_4\geq 0$

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

$X_1+X_2+X_3+X_4=1$

Therefore, the correct option is (a).