
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
The Golden Eagle Hotel has 140 rooms that need to be equipped with air conditioning. The installation is contracted to two teams, Team A and Team B, working together. Each room is equipped with the same brand and specification of air conditioner. It is known that Team A installs 5 more units per day than Team B. Team A has a task of installing 80 units, and both teams install simultaneously. The questions are:<br/>
$(1)$ How many air conditioners does each team need to install per day in order to complete the task simultaneously?<br/>
$(2)$ In response to the "green and environmental protection" requirements of the Golden Eagle Hotel, the minimum temperature setting for the air conditioner is not lower than $26^{\circ}\mathrm{C}$. Each air conditioner consumes 1.5 kWh per hour. It is estimated that at least 100 rooms are occupied by guests each day, and on average, the air conditioner is used for about 8 hours per day per room. If the electricity cost is $0.8$ yuan per kWh, estimate the range of the daily electricity cost $W$ for all the rooms in the hotel.

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