Explanation Given Information: The total physical output of construction workers is given by P . There are x number of workers. The function P = f ( x ) represents the physical productivity function. The physical productivity of x construction workers is given by P = 10 ( 3 x + 1 ) 3 − 10 . Formula used: According to the power rule, if f ( x ) = x n , then, f ′ ( x ) = n x n − 1 According to the property of differentiation, if a function is of the form, g ( x ) = c f ( x ) , then, g ′ ( x ) = c f ′ ( x ) According to the property of differentiation, if a function is of the form f ( x ) = u ( x ) + v ( x ) , then, f ′ ( x ) = u ′ ( x ) + v ′ ( x ) The derivative of a constant value k is; d d x ( k ) = 0 According to the property of differentiation, if a function is of the form y = u n , where u = g ( x ) , d y d x = n u n − 1 d u d x According to the property of differentiation, if a function is of the form y = u n , where u = g ( x ) , d y d x = n u n − 1 d u d x Calculation: Consider the provided function, P = 10 ( 3 x + 1 ) 3 − 10 The marginal physical productivity is found by differentiating the function with respect to x

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Chapter 9.7, Problem 35E

To determine

To calculate: The marginal physical productivity of the function for physical productivity of x construction workers which is given by P=10(3x+1)3−10.

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Chapter 9.7, Problem 34E

Chapter 9.7, Problem 36E

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Chapter 9 Solutions

MATHEMATICAL APPLICATIONS FOR PKG

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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The marginal physical productivity of the function for physical productivity of x construction workers which is given by P = 10 ( 3 x + 1 ) 3 − 10 .

Solution Summary: The author calculates the marginal physical productivity of the function for x construction workers which is given by P=f(x).

To calculate: The marginal physical productivity of the function for physical productivity of x construction workers which is given by P=10(3x+1)3−10.

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Chapter 9 Solutions