
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
A technology company produced 17 units and 15 units of the same type of testing equipment in locations J and Y, respectively, all of which were transported to venues A and B at the Universiade. 18 units were transported to venue A, while 14 units were transported to venue B. The transportation costs to venues A and B are shown in the table:
(1) Let $x$ be the number of units transported from location J to venue A. Complete the table and derive the function relating the total transportation cost $y$ (in yuan) to $x$ (units).
(2) When $x$ is $\qquad$, the total transportation cost is minimized, and the minimum cost is $\qquad$

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