A construction company is evaluating two projects, project A and project B. Project A has an expected profit of $200,000 with a standard deviation of $50,000, while project B has an expected profit of $400,000 with a standard deviation of $100,000. The correlation between the two projects is 0.6. If the company has a maximum risk tolerance of 20%, what is the maximum amount of money that can be invested in project B?

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