iif you store your fruit and veg as it is shown in the supermarkets, it should last for the best time,
they only keep certain things in the chillers, and other things at room temp, keep an eye out for what they store in the fridge and not in the fridge...
also, quickly washing hard skinned fruits and veg and thoughly drying them before you store them could help, i do this with tomatoes and apples, and although i dont really know if it keeps them longer, it doesnt seem to do them any harm...