Zooland Corporation uses activity$-$based costing to determine product costs for external financial reports. The company has provided the following data concerning its activitybased costing system:

$\backslash$table$[[\backslash$table$[[$Activity Cost Pool $($and Activity$],[$Measure$)]],$Total Cost,,$],[$Machine related $($machine$-$hours$),$$$137,600,,],[$Batch setup $($setups$),$$$532,800,,],[$Order size $($direct labor$-$hours$),$$$105,300,,],[,,,],[,,,],[$Activity Cost Pools,Product X$,$Product Y$,$Total$],[$Machine related,$1,000,7,000,8,000],[$Batch setup,$3,000,5,000,8,000],[$Order size,$7,000,2,000,9,000]]$

The activity rate for the batch setup activity cost pool is closest to: