Mediterranean Shipping Co. said it will seek rate increases on its trans-Atlantic trade, effective April 1. It said it will file a general rate increase of $160 per 20-foot container and $200 per 40-foot container on all cargo moving from Europe to the U.S., effective April 1. The carrier will also file a GRI of $200 per TEU and $250 per FEU on all freight moving from Italy, Spain and Portugal on its Western Mediterranean service to all U.S. coasts.