题目
ST-MATH-1031-770-49505-202503 Quiz 4
简答题
The profit, in thousands of dollars, from the sale of x thousand mechanical pencils, can be estimated by 𝑃 ( 𝑥 ) = 2 𝑥 − 0.2 𝑥 𝑙 𝑛 𝑥 Find the rate at which the profit is changing when 120 thousand pencils have been sold ( 𝑃 ′ ( 120 ) ). Round to THREE decimal places and then enter decimals without units and symbols. Example: If the answer is 0.123 thousand dollars per 1000 pencils, then enter 0.123 as your answer. If the answer is -0.123 thousand dollars per 1000 pencils, then enter -0.123 as your answer.
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标准答案
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思路分析
We start by restating the problem in our own words to ensure understanding: the profit function is P(x) = 2x − 0.2x ln x, where x is measured in thousands of pencils and P(x) in thousands of dollars. We are asked for the rate of change of profit when 120 thousand pencils have b......Login to view full explanation登录即可查看完整答案
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