"Why should they bother to come up with a new scheme?"

She tried to come up with a scheme to get rid of her.

Believe me, he wasn't smart enough to come up with a scheme like that on his own.

They came up with a visionary scheme to raise money for musical equipment.

They will come up with a new scheme which won't work, but involves spending lots of money.

They come up with a scheme to recover the incriminating film.

This is quite an accomplishment: you try coming up with a scheme to give everyone a corner office in a conventional building.

We tried to come up with a scheme to let them in.

He came up with a scheme to make some money, but it didn't work out.

To make money, he comes up with a dastardly scheme.