(b) A company that sells universal remotes has derived the profit function: P(x)=-x²+240x– 9500 where the profit is in thousands of dollars and x is in thousands of remotes. Given the domain: 0sx<200, (1) Determine the maximum profit the company can earn. (ii) Using algebra, find the break-even points. (iii) State the outputs for the company to achieve a profit.

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