Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts 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
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.