
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
Maggie wants to plant flowers in the rectangular sections of her garden, each section hosting a different flower variety. The dimensions of her garden's sections are as shown in the diagram. She plants one flower per square foot in each region. Sunflowers cost $\$0.75$ each, tulips $\$2$ each, marigolds $\$1.25$ each, orchids $\$4$ each, and violets $\$3.50$ each. Determine the least possible cost, in dollars, for her garden. [asy]
draw((0,0)--(10,0)--(10,7)--(0,7)--cycle,linewidth(0.7));
draw((0,2)--(7,2),linewidth(0.7));
draw((5,2)--(5,7),linewidth(0.7));
draw((7,0)--(7,4),linewidth(0.7));
draw((5,4)--(10,4),linewidth(0.7));
label("7",(2.5,0),S);
label("3",(8.5,0),S);
label("2",(0,1),W);
label("5",(0,4.5),W);
label("5",(2.5,7),N);
label("5",(7.5,7),N);
label("4",(10,3),E);
label("3",(10,5.5),E);
[/asy]

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