
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
Rose revamps her garden design into five distinct trapezoidal regions within her large rectangular garden. The dimensions of the bases and heights of the trapezoids are given below, and each square foot will have one flower of a specific type. The flowers have the following costs: Asters at $\$1.20$ each, begonias at $\$1.80$ each, cannas at $\$2.30$ each, dahlias at $\$2.80$ each, and marigolds at $\$3.10$ each. Determine the minimum possible cost, in dollars, for planting the entire garden.

The trapezoids have the following dimensions in feet:
- **Trapezoid 1**: Bases of 7 ft and 5 ft, height of 2 ft
- **Trapezoid 2**: Bases of 5 ft and 3 ft, height of 4 ft
- **Trapezoid 3**: Bases of 6 ft and 4 ft, height of 5 ft
- **Trapezoid 4**: Bases of 8 ft and 6 ft, height of 3 ft
- **Trapezoid 5**: Bases of 10 ft and 8 ft, height of 3 ft

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