JIT in Variable Marketplaces
Obviously if 2 days of order fulfilment lead time is industry norm, you have little time to react. Your cash position is tight. Why not try something like Dell? Increase your reaction time say by 5 days to up to a week and offer better prices that will be funded by your reduced inventory costs and interest burden?
I am not realy to believe customer is so crazy about the order that he cannon wait for 5 more days for a better price, if he really cannot, it means his own business is in mess, he has practically no control over his business.
In that case, you will have to understand the reasons behind such rigid behaviour from his end, what is his planning visibility, so on.
Whatever be the case, I strongly believe you can add value to your customer and it's not a bad idea to steal concepts from Dell
(reduced variability and price against longer lead times), P&G
(CPFR, know your partners' pains), Saint Gobain
(renegotiate payment terms).