No chance of an MTOW take-off for your examples.
You start getting weight restricted above about 20C at somewhere like LCY, which is 1300m and at SL. At somewhere about 1600m and also at SL, above about 30C will cause problems. Obviously it also depends on whether its a Field Restriction/Obstacle restriction/etc but these are good ball-park figures.
In terms of the take-off performance for a given weight, the sector length is irrelevant, however your example is academic anyway as a 700nm flight started at MTOW will leave you above MLW:
MTOW = 42.2t (146-200) / 44.2t (-300)
700nm flight = approx 4.5t burn + 200kg taxi
=> But MLW's are 36.7t (-200) and 37.6 (-300) so you would be above weight.
In fact, on your given 700nm sector flight, you would never reach MTOW anyway. eg
DOW: 24.5t (-200)
Block fuel: 7.0t
Max likely pax load: 8t (84kg x 95 pax)
= 39.5t TOW
Last edited by One Step Beyond; 4th Aug 2005 at 08:04.