If an industry invests x thousand labor-hours, 12 ≤x≤ 22, and $y million, 1 sys2, in the production of N thousand units of a certain item, then N is given by the following formula. N(x,y) = x0.70y0.30 What is the average number of units produced for the indicated ranges of x and y? Set up a double integral and evaluate it.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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If an industry invests x thousand labor-hours, 12 ≤x≤22, and $y million, 1 ≤ y ≤2, in the production of N thousand units of a certain item, then N is given by the following formula.
N(x,y) = x0.70y0.30
What is the average number of units produced for the indicated ranges of x and y? Set up a double integral and evaluate it.
The average number of units produced for the indicated ranges of x and y is approximately
(Do not round until the final answer. Then round to three decimal places as needed.)
thousand units.
Transcribed Image Text:If an industry invests x thousand labor-hours, 12 ≤x≤22, and $y million, 1 ≤ y ≤2, in the production of N thousand units of a certain item, then N is given by the following formula. N(x,y) = x0.70y0.30 What is the average number of units produced for the indicated ranges of x and y? Set up a double integral and evaluate it. The average number of units produced for the indicated ranges of x and y is approximately (Do not round until the final answer. Then round to three decimal places as needed.) thousand units.
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