"Economy Class customers are permitted one piece of carry-on baggage, either a handbag or laptop bag... and must weigh no more than 15lb (7kg)."
Ouch, that does seem very mean, especially if it's strictly enforced. BA have a 23kg allowance, Ryanair 10kg, and easyJet unlimited (size restricted, and must be able to be lifted by yourself). At least EK offer a decent checked allowance for all pax.