Question 1

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Solve the problem.

Because of material shortages, it is increasingly expensive to produce 6.2L diesel engines. In fact, the profit in

millions of dollars from producing x hundred thousand engines is approximated by P(x) = -x3 + 30x² + 10x - 52,

where 0 sx ≤20. Find the inflection point of this function to determine the point of diminishing returns.

(10, 2048)

(7.50, 2048)

(10, 114.67)

(10, 1958)