Factory Equipment Dilemma

Octavia the octopus wants to start a company that manufactures desk chairs. There are 3 different tiers of machinery that she can buy.

Tier 1 machinery: Fixed cost of $200,000 and costs $28 per chair.
Tier 2 machinery: Fixed cost of $360,000 and costs $22 per chair.
Tier 3 machinery: Fixed cost of $500,000 and costs $14 per chair.

Which piece of machinery should she buy if she wants to build 20,000 desk chairs for the least amount of money?

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