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But the maximum rate of reaction would occur without the inhibitors and that has a constant value :SM
maximum rate wouldn't increase either .. Cuz if only u inc the substrate con. Then there are more chances of the substrate to bind with the enzyme ... And if the substrate con ain't increasing then.. The rate would stop as in no further reaction.
And yeah no competitive don't cuz they alter the shape of the active site so the substrate can NEVER bind with the enzyme ..