Please write clearly TODThe price-demand equation for the production of x ski jackets is given by: p= 200 - 0.2x4. Evaluate the marginal revenue at x = 80.5. Interpret the results from # 4.

Answered: The price-demand equation for the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 6E

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Please write clearly

TOD
The price-demand equation for the production of x ski jackets is given by: p= 200 - 0.2x
4. Evaluate the marginal revenue at x = 80.
5. Interpret the results from # 4.

Expert Solution

Step 1

(4)

Determine the total revenue TR and then use the differentiation to calculate marginal revenue MR.

$\begin{matrix} p = 200 - 0.2 x \\ p (x) = 200 - 0.2 x \\ T R (x) = x \times p (x) \\ = x \times (200 - 0.2 x) \\ = 200 x - 0.2 x^{2} \\ M R = \frac{d}{d x} (200 x - 0.2 x^{2}) \\ = 200 \cdot \frac{d x}{d x} - 0.2 \cdot \frac{d}{d x} (x^{2}) \\ = 200 - (0.2 \times 2 x) \\ S o, M R (x) = 200 - 0 .4 x \end{matrix}$

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