For the following constraint:

$10$x$1+8$x$2=500$y$1,$

The decision variables x$1$ and x$2$ are continuous, while the decision variable y$1$ is a binary type $(0-1).$

The scenario bellow is true only if the variable y$1\_\_\_\_\_\_\_.$

$10$x$1+8$x$2=0$

Please choose one of the following options that best fit the empty space above.For the following constraint:

$10$x$1+8$x$2=500$y$1,$

The decision variables x$1$ and x$2$ are continuous, while the decision variable y$1$ is a binary type $(0-1).$

The scenario bellow is true only if the variable y$1\_\_\_\_\_\_\_.$

$10$x$1+8$x$2=0$

Please choose one of the following options that best fit the empty space above.