
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
"Shazi Guazi" is a famous brand of sunflower seeds, and one of Wuhu's specialties. Two students, A and B, plan to go to the mall to buy a certain amount of Shazi Guazi. After some research, they found that the A series of sunflower seeds is not only cheap but also tastes good. Moreover, the daily sales volume $y$ (unit: kg) and the sales price $x$ (unit: yuan/kg) satisfy the relationship: $y=\dfrac{a}{x-3}+10{(x-6)}^{2}$, where $3 < x < 6$, and $a$ is a constant. It is known that when the sales price is 5 yuan/kg, the daily sales volume of the A series of sunflower seeds is 11 kg. If the cost of the A series of sunflower seeds is 3 yuan/kg, the sales price $x$ should be $\boxed{\text{\_\_\_\_\_\_\_\_}}$ yuan/kg to maximize the daily profit from selling the A series of sunflower seeds.

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