Rex Carr owns a junkyard which processes used cars into scrap metal. In the long-run Rex can use two methods to destroy cars. The first involves purchasing a hydraulic car smasher which costs $200 a year to own and then spending $1 for every car smashed. The second method involves purchasing a hammer that will last one year and costs $40, and paying his brother Otto Carr to destroy the cars at a cost of $5 each. What is the minimum number of cars processed per year for which Rex should be willing to purchase the hydraulic smasher?

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Rex Carr owns a junkyard which processes used cars into scrap metal. In the long-run Rex can use two methods to destroy cars. The first involves purchasing a hydraulic car smasher which costs $200 a year to own and then spending $1 for every car smashed. The second method involves purchasing a hammer that will last one year and costs $40, and paying his brother Otto Carr to destroy the cars at a cost of $5 each.

What is the minimum number of cars processed per year for which Rex should be willing to purchase the hydraulic smasher?

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