Conor can chop 12 x 4 = <<12*4=48>>48 eggplants a week.
He can chop 9 x 4 = <<9*4=36>>36 carrots a week.
He can chop 8 x 4 = <<8*4=32>>32 potatoes a week.
Therefore, Conor can chop 48 + 36 + 32 = <<48+36+32=116>>116 vegetables a week.
#### 116