Question: Find the total cost functionUpper C left parenthesis x right parenthesisC(x)(in thousands of dollars) if the marginal cost(in thousands of dollars per unit) at a
Find the total cost functionUpper C left parenthesis x right parenthesisC(x)(in thousands of dollars) if the marginal cost(in thousands of dollars per unit) at a production level of x units isUpper C prime left parenthesis x right parenthesis equals StartFraction 2 x plus 7 Over e Superscript x EndFractionC(x)=2x+7exleft parenthesis 0 less than or equals x less than or equals 4 right parenthesis(0x4),and fixed costs are$ 10 comma 000$10,000left parenthesis c left parenthesis 0 right parenthesis equals 10 right parenthesis(c(0)=10).Question content area bottomPart 1Which of the following explains how to findUpper C left parenthesis x right parenthesisC(x),the total cost function if the marginal cost at a production level of x units isUpper C prime left parenthesis x right parenthesisC(x)?A.To find the total cost function, evaluate the indefinite integral of the marginal cost and apply the initial conditionsleft parenthesis c left parenthesis 0 right parenthesis equals 10 right parenthesis(c(0)=10).Therefore,Upper C left parenthesis x right parenthesis equals nothingC(x)=enter your response here.(Type an exact answer.)B.To find the total cost function, evaluate the derivative of the marginal cost and apply the initial conditionsleft parenthesis c left parenthesis 0 right parenthesis equals 10 right parenthesis(c(0)=10).Therefore,Upper C left parenthesis x right parenthesis equals nothingC(x)=enter your response here.
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