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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
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