Four-digit Targets

You have two sets of the digits from $0$ to $9$.


The idea is to arrange these digits in the five boxes to make four-digit numbers as close to the target number as possible.
You may use each digit once only.

This problem is based on a game published by BEAM as one of their Maths of the Months activities. You can play it as a game against a friend using this sheet from BEAM.