Why, if the desire is to produce ammonia industrially, is the reaction run at...

[Kat B]

...the high temperature? The reaction to produce ammonia is an equilibrium :
N2(g) + 3 H2(g) == 2NH3(g)

At 300K the equilibrium constant is 3 x 108 and at 700 the equilibrium constant is 0.3. Industrially the reaction is run at the higher temperature even though the ratio of products to reactants in the equilibrium mixture is much much less than the lower temperature. Why, if the desire is to produce ammonia industrially, is the reaction run at the high temperature?