A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below: Which of the following is a constraint for the suppliers (button producers)?
A) $2 X _ { 11 } + 5 X _ { 12 } + 6 X _ { 13 } = 50$
B) $9 \mathrm { X } _ { 11 } + 3 \mathrm { X } _ { 12 } + 7 \mathrm { X } _ { 13 } = 50$
C) $X _ { 11 } + X _ { 12 } + X _ { 13 } = 50$
D) $X _ { 12 } + X _ { 22 } + X _ { 32 } = 70$
E) all of the choices

Question

A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below:  Which of the following is a constraint for the suppliers (button producers)?
A) $2 X _ { 11 } + 5 X _ { 12 } + 6 X _ { 13 } = 50$ 
B) $9 \mathrm { X } _ { 11 } + 3 \mathrm { X } _ { 12 } + 7 \mathrm { X } _ { 13 } = 50$ 
C) $X _ { 11 } + X _ { 12 } + X _ { 13 } = 50$ 
D) $X _ { 12 } + X _ { 22 } + X _ { 32 } = 70$ 
E) all of the choices

Quizplus · Accepted Answer

Constraint for the suppliers (button producers) relates to the total number of cartons they need to ship to the campaign headquarters. Option C represents the constraint as the total number of cartons produced by the three button producers needs to be equal to 150 (the total number of cartons needed). Options A, B, D relate to other constraints such as transportation costs or demand at the headquarters.

A Campaign Manager for a Political Candidate Must Arrange the Shipment