(a) To determine To calculate: The production level if investment is increased to $ 8000 . Explanation Given: The marginal productivity of a manufacturing process: d y d x = 3 x 2 − 4 x 25 Where x is the amount of investment (in thousands) and y is the number of unit produced (in hundred). And the production is 2300 units when investment is $ 5000 . Formula used: Integral property as: ∫ x n d x = x n + 1 n + 1 + c Calculation: Consider the marginal productivity of a manufacturing process, d y d x = 3 x 2 − 4 x 25 25 d y = ( 3 x 2 − 4 x ) d x Now, take antiderivative both sides: ∫ 25 d y = ∫ ( 3 x 2 − 4 x ) d x 25 y + c 1 = 3 x 3 3 − 4 x 2 2 + c 2 25 y = x 3 − 2 x 2 + c 2 − c 1 y = x 3 − 2 x 2 25 + c 2 − c 1 25 Replace the constant c 2 − c 1 25 by another constant C (b) To determine To calculate: The production level if investment is increased to $ 11000 .

Mathematics with Applications, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package (12th Edition)

12th Edition

ISBN: 9780134862651

Author: Lial

Publisher: PEARSON

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Chapter 13.7, Problem 35E

(a)

To determine

To calculate: The production level if investment is increased to $8000.

(b)

To determine

To calculate: The production level if investment is increased to $11000.

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Chapter 13.7, Problem 34E

Chapter 13.7, Problem 36E

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Mathematics with Applications, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package (12th Edition)

Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

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