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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)= 16x/2x^2+e where x is the number of units produced. (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $22,000 to produce 5 units. Should they seek this new source? (a) What substitution should be used to determine the cost function? Use the quantity_ u= as the substitution, so that du= dx The cost function is C(x)=_ Therefore, the cost of producing 5 units is so the company source of investment income seek a new (Round to the nearest dollar as needed.)

A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x)= 16x/2x^2+e where x is the number of units produced. (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $22,000 to produce 5 units. Should they seek this new source? (a) What substitution should be used to determine the cost function? Use the quantity_ u= as the substitution, so that du= dx The cost function is C(x)=_ Therefore, the cost of producing 5 units is so the company source of investment income seek a new (Round to the nearest dollar as needed.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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)= 16x/2x^2+e where x is the number of units produced. (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $22,000 to produce 5 units. Should they seek this new source? (a) What substitution should be used to determine the cost function? Use the quantity_ u= as the substitution, so that du= dx The cost function is C(x)=_ Therefore, the cost of producing 5 units is so the company source of investment income seek a new (Round to the nearest dollar as needed.)
Transcribed Image Text:A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x)= 16x/2x^2+e where x is the number of units produced. (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $22,000 to produce 5 units. Should they seek this new source? (a) What substitution should be used to determine the cost function? Use the quantity_ u= as the substitution, so that du= dx The cost function is C(x)=_ Therefore, the cost of producing 5 units is so the company source of investment income seek a new (Round to the nearest dollar as needed.)
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