
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 redesigns her rectangular flower garden which is divided into various sections. She has a new selection of flowers: peonies ($\$2.25$ each), tulips ($\$2$ each), sunflowers ($\$1.75$ each), roses ($\$1.50$ each), and violets ($\$1$ each). The newly shaped regions are: a rectangle of 3ft by 4ft, another of 5ft by 3ft, a third of 2ft by 7ft, a fourth of 6ft by 3ft, and a fifth of 5ft by 4ft. How much will it cost her to plant one flower per square foot if she wants to minimize the expense, given these new areas and costs?

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