You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
Thomas buys a weight vest that weighed 60 pounds and worked well for him in the beginning. After a bit of training, he decides he wants to increase the weight by 60%. The weights come in 2-pound steel ingots. Each ingot costs $5, and there are several discounts and fees that apply:

- If you buy 11 to 20 ingots, you get a 20% discount.
- If you buy 21 to 30 ingots, you get a 25% discount.
- If you buy more than 30 ingots, you get a 30% discount.

Additionally:

- A 5% sales tax applies for purchases of up to 20 ingots.
- A 3% sales tax applies for purchases of 21 to 30 ingots.
- A 1% sales tax applies for purchases of more than 30 ingots.

There is also a shipping fee depending on the total weight of the ingots purchased:

- If the total weight is 20 pounds or less, the shipping fee is $10.
- If the total weight is between 21 and 40 pounds, the shipping fee is $15.
- If the total weight is 41 pounds or more, the shipping fee is $20.

Considering the overall cost, including discounts, tax, and shipping fee, calculate how much it costs Thomas to get the additional weight he needs for his weight vest.
user
\$90.60
rule
Thomas buys a weight vest that weighed 60 pounds and worked well for him in the beginning. After a bit of training, he decides he wants to increase the weight by 60%. The weights come in 2-pound steel ingots. Each ingot costs $5, and there are several discounts and fees that apply:

- If you buy 11 to 20 ingots, you get a 20% discount.
- If you buy 21 to 30 ingots, you get a 25% discount.
- If you buy more than 30 ingots, you get a 30% discount.

Additionally:

- A 5% sales tax applies for purchases of up to 20 ingots.
- A 3% sales tax applies for purchases of 21 to 30 ingots.
- A 1% sales tax applies for purchases of more than 30 ingots.

There is also a shipping fee depending on the total weight of the ingots purchased:

- If the total weight is 20 pounds or less, the shipping fee is $10.
- If the total weight is between 21 and 40 pounds, the shipping fee is $15.
- If the total weight is 41 pounds or more, the shipping fee is $20.

Considering the overall cost, including discounts, tax, and shipping fee, calculate how much it costs Thomas to get the additional weight he needs for his weight vest.
train