A retail outlet wants to replace a broken ice cream vending machine with one of two models. Purchase of model 1 machine is captured by variable $X_{1}$ taking a value of 1 and 0 if not purchased. $X_{2}$ is similarly defined. They would also want to allow for the possibility of getting rid of the old machine with no replacement. 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. Purchase of model 1 machine is captured by variable $X_{1}$ taking a value of 1 and 0 if not purchased. $X_{2}$ is similarly defined. They would also want to allow for the possibility of getting rid of the old machine with no replacement. 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) $\mathrm{X}_{1}+\mathrm{X}_{2} \geq$1
D) $X_{1}+X_{2}=$1
E) $X_{1}+X_{2}>$1

Quizplus · Accepted Answer

The constraint $X_{1} + X_{2} \leq 1$ allows for the possibility of purchasing either one of the machines (model 1 or model 2) or not purchasing any machine at all, which aligns with the scenario described.

A Retail Outlet Wants to Replace a Broken Ice Cream X1X_{1}X1​

A Retail Outlet Wants to Replace a Broken Ice Cream $X_{1}$