Explanation Given: The revenue function in thousands of dollars, R ( x ) = 150 − 38 x 3 − x . The cost function in thousands of dollars, C ( x ) = 120 − 25 x 2 − x . The profit function in thousands of dollars, P ( x ) = R ( x ) − C ( x ) . x is number of machine manufactured per day. Formula used: Distributive property a ( b + c ) = a . b + a . c Calculation: Consider the company manufacture more the five machines per day, the revenue function in thousands of dollars is, R ( x ) = 150 − 38 x 3 − x The cost function in thousands of dollars to manufacture x machine is C ( x ) = 120 − 25 x 2 − x Consider the profit function in term of revenue and cost is given by P ( x ) = R ( x ) − C ( x ) = 150 − 38 x 3 − x − 120 − 25 x 2 − x The LCD of denominators ( 3 − x ) ( 2 − x ) . Rewrite the profit function with LCD, 150 − 38 x 3 − x − 120 − 25 x 2 − x = 150 − 38 x 3 − x ⋅ ( 2 − x ) ( 2 − x ) − 120 − 25 x 2 − x ⋅ ( 3 − x

Intermediate Algebra Books a la Carte Edition PLUS MyLab Math (8th Edition)

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ISBN: 9780134578507

Author: John Tobey Jr., Jeffrey Slater, Jenny Crawford, Jamie Blair

Publisher: PEARSON

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Chapter 6.2, Problem 32E

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Chapter 6.2, Problem 31E

Chapter 6.2, Problem 33E

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Intermediate Algebra Books a la Carte Edition PLUS MyLab Math (8th Edition)

Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Prob. 4E Ch. 6.1 - Simplify completely. − 18 x 4 y 12 x 2 y 6 Ch. 6.1 - Simplify completely. − 7 x y 2 28 x 5 y Ch. 6.1 - Prob. 7E Ch. 6.1 - Simplify completely. 24 x 2 − 4 x 4 x 2 − 8 x Ch. 6.1 - Simplify completely. 8 x 2 28 x 2 + 4 x Ch. 6.1 - Simplify completely. 30 x 2 6 x 2 + 18 x

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The profit function in thousands of dollars, P ( x ) = R ( x ) − C ( x ) .

Solution Summary: The author calculates the value of the profit function in thousands of dollars, based on the number of machines manufactured per day.

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To calculate: The profit function in thousands of dollars, P(x)=R(x)−C(x).

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