
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let the function $f(x)= \dfrac {bx}{\ln x}-ax$, where $e$ is the base of the natural logarithm.  
(Ⅰ) If the tangent line to the graph of $f(x)$ at the point $(e^{2},f(e^{2}))$ is $3x+4y-e^{2}=0$, find the values of the real numbers $a$ and $b$;  
(Ⅱ) When $b=1$, if there exist $x_{1}$, $x_{2} \in [e,e^{2}]$ such that $f(x_{1}) \leqslant f′(x_{2})+a$ holds, find the minimum value of the real number $a$.

Present the answer in LaTex format: \boxed{Your answer}
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