A retail outlet wants to replace a broken ice cream vending machine with one of two models. The purchase of model 1 is captured by variable X1, taking a value of 1 and 0 if not purchased. X2 is similarly defined. They would not be opposed to buying both machines, though buying one of them is a must. One of the constraints for this problem would be A) $\mathrm{X}_{1}+\mathrm{X}_{2}$1

Question

A retail outlet wants to replace a broken ice cream vending machine with one of two models. The purchase of model 1 is captured by variable X1, taking a value of 1 and 0 if not purchased. X2 is similarly defined. They would not be opposed to buying both machines, though buying one of them is a must. One of the constraints for this problem would be
A) $\mathrm{X}_{1}+\mathrm{X}_{2}<$1
B) $\mathrm{X}_{1}+\mathrm{X}_{2} \leq$1
C) $X_{1}+X_{2} \geq$1
D) $X_{1}+X_{2}=$1
E) $\mathrm{X}_{1}+\mathrm{X}_{2}>$1

Quizplus · Accepted Answer

The constraint $X_{1}+X_{2} \geq 1$ ensures that at least one of the machines is purchased, which aligns with the requirement that buying one of them is a must, while also allowing for the possibility of purchasing both.

A Retail Outlet Wants to Replace a Broken Ice Cream X1+X2<\mathrm{X}_{1}+\mathrm{X}_{2}<X1​+X2​<

A Retail Outlet Wants to Replace a Broken Ice Cream $\mathrm{X}_{1}+\mathrm{X}_{2}<$