Question: A manufacturer plans to decrease the amount of sulfur dioxide escaping from its smokestacks. The estimated costbenefit function is where f(x) is the cost in

A manufacturer plans to decrease the amount of sulfur dioxide escaping from its smokestacks. The estimated cost–benefit function is f(x) = 3x 105x 0x 100,

where f(x) is the cost in millions of dollars for eliminating x% of the total sulfur dioxide. (See Fig. 4.) Find the value of x at which the rate of increase of the cost–benefit function is $1.4 million per unit.

f(x) = 3x 105x 0x 100,

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