
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 rearranges her garden into a different configuration of rectangular regions within a larger rectangle, with new dimensions. Each type of flower's cost is also revised. The new lengths, in feet, of the rectangular regions in her rectangular flower bed are as shown below. She plants one flower per square foot in each region. Sunflowers cost $1$ each, tulips $2$ each, orchids $2.50$ each, roses $3$ each, and hydrangeas $4$ each. Calculate the least possible cost, in dollars, for Rose's garden with this new configuration. [asy]
draw((0,0)--(10,0)--(10,5)--(0,5)--cycle, linewidth(0.7));
draw((0,2)--(7,2), linewidth(0.7));
draw((7,0)--(7,5), linewidth(0.7));
draw((0,4)--(3,4), linewidth(0.7));
draw((3,2)--(3,5), linewidth(0.7));
label("7",(5,0),S);
label("3",(8.5,0),S);
label("2",(0,1),W);
label("2",(0,3),W);
label("3",(3,5),N);
label("4",(2,2),N);
label("5",(7,5),N);
label("3",(10,3.5),E);
[/asy]

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