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A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = - , where

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A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = - , where x is the number of units produced. 3x te a) Find the cost function, given that the company incurs a fixed cost of $11,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $17,000 to produce 5 units. Should they seek this new source? (a) What substitution should be used to determine the cost function? Use the quantity as the substitution. u = so that du = ( ) dx

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