
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
Olivia has a rectangular flower bed divided into different regions for planting flowers. Each region will have a unique type of flower planted. The dimensions of her flower bed are modified slightly as follows in feet. Olivia plans to plant one flower per square foot. Roses cost $\$0.75$, tulips cost $\$1.25$, sunflowers $\$1.75$, marigolds $\$2.25$, and orchids $\$2.75$ each. Determine the minimal total cost for planting all the flowers in her bed.
[asy]
draw((0,0)--(12,0)--(12,7)--(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)--(12,4),linewidth(0.7));
label("7",(3.5,0),S);
label("5",(9.5,0),S);
label("2",(0,1),W);
label("5",(0,4.5),W);
label("5",(2.5,7),N);
label("7",(8.5,7),N);
label("4",(12,3),E);
label("3",(12,5.5),E);
[/asy]

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