
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
Charlie's vegetable garden is sectioned into various rectangular areas: each region grows a different type of vegetable. The dimensions, in meters, of the rectangular regions in his garden are adjusted. He plants one type of vegetable per square meter. Each type of vegetable has a different cost due to fertilizer requirements: Lettuce costs \$2 per square meter, Spinach \$2.50 per square meter, Carrots \$3 each, Beans \$3.50 each, and Tomatoes \$4 each. Determine the minimum possible cost, in dollars, for fertilizers needed in his garden, given the new layout as follows:

[asy]
draw((0,0)--(9,0)--(9,5)--(0,5)--cycle,linewidth(0.7));
draw((0,1)--(5,1),linewidth(0.7));
draw((3,1)--(3,5),linewidth(0.7));
draw((5,0)--(5,2),linewidth(0.7));
draw((3,2)--(9,2),linewidth(0.7));
label("4",(2,0),S);
label("5",(7,0),S);
label("1",(0,0.5),W);
label("4",(0,3),W);
label("3",(2,5),N);
label("6",(6,5),N);
label("2",(9,1),E);
label("3",(9,3.5),E);
[/asy]

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