Riker Co.is considering which of 4 different projects to undertake in order to maximize its net present value (NPV).Define Xi as a binary variable that equals 1 if project i is undertaken and 0 otherwise,for i = 1,2,3,4.The NPV and required capital (in millions)for each project are listed below.
Which of the following represents the constraint(s)stating that project 1 must be undertaken and at least one of the other projects must be undertaken?
A)X1 + X2 ≤ 1,and X1 + X3 ≤ 1,and X1 + X4 ≤ 1
B)X1 ≥1,and X2 + X3 + X4 ≥ 1
C)X1 + X2 ≥ 1,and X1 + X3 ≥ 1,and X1 + X4 ≥ 1
D)X1 ≥1,and X2 + X3 + X4 ≤ 3
E)X1 + X2 + X3 + X4 ≥ 2

Question

Riker Co.is considering which of 4 different projects to undertake in order to maximize its net present value (NPV).Define Xi as a binary variable that equals 1 if project i is undertaken and 0 otherwise,for i = 1,2,3,4.The NPV and required capital (in millions)for each project are listed below.
 Which of the following represents the constraint(s)stating that project 1 must be undertaken and at least one of the other projects must be undertaken?
A)X1 + X2 ≤ 1,and X1 + X3 ≤ 1,and X1 + X4 ≤ 1 
B)X1 ≥1,and X2 + X3 + X4 ≥ 1 
C)X1 + X2 ≥ 1,and X1 + X3 ≥ 1,and X1 + X4 ≥ 1 
D)X1 ≥1,and X2 + X3 + X4 ≤ 3 
E)X1 + X2 + X3 + X4 ≥ 2

Quizplus · Accepted Answer

The Answer of Riker Co.is considering which of 4 different projects to undertake in order to maximize its net present value (NPV).Define Xi as a binary variable that equals 1 if project i is undertaken and 0 otherwise,for i = 1,2,3,4.The NPV and required capital (in millions)for each project are listed below.
 Which of the following represents the constraint(s)stating that project 1 must be undertaken and at least one of the other projects must be undertaken?
A)X1 + X2 ≤ 1,and X1 + X3 ≤ 1,and X1 + X4 ≤ 1 
B)X1 ≥1,and X2 + X3 + X4 ≥ 1 
C)X1 + X2 ≥ 1,and X1 + X3 ≥ 1,and X1 + X4 ≥ 1 
D)X1 ≥1,and X2 + X3 + X4 ≤ 3 
E)X1 + X2 + X3 + X4 ≥ 2

Riker Cois Considering Which of 4 Different Projects to Undertake in in Order