Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Questions 16 and 17 refer to the following information.

[tex]\[
\begin{array}{c}
C(x) = 50{,}000 + 0.75x \\
R(x) = 4.75x
\end{array}
\][/tex]

The given function [tex]\(C(x)\)[/tex] models the total cost (sum of fixed cost and variable cost), in dollars, of growing and harvesting [tex]\(x\)[/tex] bales of hay on a certain farm. The given function [tex]\(R(x)\)[/tex] models the revenue, in dollars, earned from selling [tex]\(x\)[/tex] bales of hay.

16. According to the function [tex]\(R(x)\)[/tex], how many bales of hay would have to be sold to earn a revenue of [tex]\(\$1,425\)[/tex]?

A. 100
B. 300
C. 500
D. 1,000

Sagot :

GinnyAnswer
To determine how many bales of hay need to be sold to earn a revenue of [tex]$1,425, we can use the given revenue function: \[ R(x) = 4.75x \] We are given that the target revenue is $[/tex]1,425:

[tex]\[ R(x) = 1,425 \][/tex]

We need to solve for [tex]\( x \)[/tex]. Set up the equation:

[tex]\[ 4.75x = 1,425 \][/tex]

To solve for [tex]\( x \)[/tex], divide both sides of the equation by 4.75:

[tex]\[ x = \frac{1,425}{4.75} \][/tex]

When you perform the division:

[tex]\[ x \approx 300 \][/tex]

So, to earn a revenue of $1,425, the farm needs to sell approximately 300 bales of hay. Therefore, the correct answer is:

B) 300
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.