
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 has a rectangular garden divided into rectangular plots. The dimensions of the plots are as shown in the diagram. She plants one type of flower in each plot, where sunflowers cost $0.75$ each, tulips $1.25$ each, roses $1.75$ each, orchids $2.25$ each, and hydrangeas $2.75$ each. Determine the minimum cost for planting flowers in her garden, assuming one flower per square foot.
[asy]
draw((0,0)--(9,0)--(9,5)--(0,5)--cycle,linewidth(0.7));
draw((0,2)--(5,2),linewidth(0.7));
draw((3,2)--(3,5),linewidth(0.7));
draw((5,0)--(5,4),linewidth(0.7));
draw((3,4)--(9,4),linewidth(0.7));
label("5",(2.5,0),S);
label("4",(7,0),S);
label("2",(0,1),W);
label("3",(0,3.5),W);
label("3",(1.5,5),N);
label("6",(6,5),N);
label("4",(9,2),E);
label("1",(9,4.5),E);
[/asy]

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