hello! this is a two part question. Its the same question just followed on. If someone can please answer part one and part two. Its the last question and I don't get it. Plesse plessegod bless 3The cost, in dollars, of producing x belts is given by C(x) = 823 + 16x – 0.074x“. The revenue, in dollars, of producing and selling x belts is given by R(x) = 45xproduced and sold.8Find the rate at which average profit is changing when 400 belts have beenWhen 400 belts have been produced, the average profit is changing atfor each additional belt.(Round to four decimal places as needed. Do not include the $ symbol in your answer.) 7The revenue, in dollars, from the sale of x belts is given by R(x) = 41x'. Find the rate at which average revenue is changing when 980 belts have been produced and sold.When 980 belts have been produced and sold, the average revenue is changing atV for each additional belt.(Round to four decimal places as needed. Do not include the $ symbol in your answer.)

Name: hello! this is a two part question. Its the same question just followe
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Description: hello! this is a two part question. Its the same question just followed on. If someone can please answer part one and part two. Its the last question and I don't get it. Plesse plessegod bless 3The cost, in dollars, of producing x belts is given by C

Answered: The cost, in dollars, of producing x…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.2: Modeling With Linear Functions

Problem 58SE: When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary...

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hello!

this is a two part question. Its the same question just followed on. If someone can please answer part one and part two. Its the last question and I don't get it. Plesse plesse

god bless

3
The cost, in dollars, of producing x belts is given by C(x) = 823 + 16x – 0.074x“. The revenue, in dollars, of producing and selling x belts is given by R(x) = 45x
produced and sold.
8
Find the rate at which average profit is changing when 400 belts have been
When 400 belts have been produced, the average profit is changing at
for each additional belt.
(Round to four decimal places as needed. Do not include the $ symbol in your answer.)

7
The revenue, in dollars, from the sale of x belts is given by R(x) = 41x'. Find the rate at which average revenue is changing when 980 belts have been produced and sold.
When 980 belts have been produced and sold, the average revenue is changing at
V for each additional belt.
(Round to four decimal places as needed. Do not include the $ symbol in your answer.)

Expert Solution

Step 1

Find the average profit.

$\begin{matrix} C (x) = 823 + 16 x - 0.074 x^{2} \\ R (x) = 45 x^{\frac{3}{8}} \\ P (x) = R (x) - C (x) \\ = 45 x^{\frac{3}{8}} - (823 + 16 x - 0.074 x^{2}) \\ = 45 x^{\frac{3}{8}} - 823 - 16 x + 0.074 x^{2} \\ \bar{P} (x) = \frac{P (x)}{x} \\ = \frac{45 x^{\frac{3}{8}} - 823 - 16 x + 0.074 x^{2}}{x} \\ = 45 x^{(\frac{3}{8} - 1)} - 823 x^{- 1} - 16 x^{(1 - 1)} + 0.074 x^{(2 - 1)} \\ = 45 x^{(- \frac{5}{8})} - 823 x^{- 1} - 16 x^{0} + 0.074 x^{1} \\ S o, \bar{P} (x) = 45 x^{(- \frac{5}{8})} - 823 x^{- 1} - 16 + 0 .074 x \end{matrix}$

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