
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
Our city's various units have taken a series of measures for students' return to school. After returning to school, in order to increase the distance between students' exercises, a certain school decided to purchase two types of sports equipment suitable for independent training: jump ropes and shuttlecocks. Originally, the purchase of 5 jump ropes and 6 shuttlecocks cost a total of $196; the purchase of 2 jump ropes and 5 shuttlecocks cost a total of $120. The school plans to purchase a total of 400 jump ropes and shuttlecocks. Due to the impact of the epidemic, the mall decided to sell these two types of equipment at a discount, with jump ropes at 20% off and shuttlecocks at 25% off. The school requires the number of jump ropes to be no less than 3 times the number of shuttlecocks, and the number of jump ropes not to exceed 310. The minimum cost is ______ dollars.

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