The price that a company charged for a computer accessory is given by the equation 100 minus 10 x squared where x is the number of accessories that are produced, in millions. It costs the company 10 dollars to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

If x is the number of accessories produced in millions, profit is revenue minus production cost: P(x) = x(100 − 10x²) − 10x = 90x − 10x³ million dollars. Setting this equal to the current profit of 100 million gives x³ − 9x + 10 = 0. Since x = 2 is the current output, the other positive solution is x = −1 + √6 ≈ 1.45, so 1.45 million accessories yields the same profit.

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