We appreciate your visit to Brennan recently spent tex 160 tex on woodworking tools so he can make and sell personalized mailboxes Each mailbox costs tex 14 tex to make. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine how many mailboxes Brennan needs to make and sell to make a profit, we need to compare his costs to his revenue. Here's the step-by-step breakdown:
1. Identify the costs:
- Brennan has an initial investment of \[tex]$160 on tools.
- Each mailbox costs \$[/tex]14 to make.
2. Identify the revenue:
- Brennan sells each mailbox for \[tex]$40.
3. Set up the inequality for making a profit:
- Brennan's total cost to make \( x \) mailboxes is the initial \$[/tex]160 plus \$14 per mailbox: [tex]\( 160 + 14x \)[/tex].
- Brennan's total revenue from selling [tex]\( x \)[/tex] mailboxes is [tex]\( 40x \)[/tex].
To make a profit, the revenue must be greater than the total cost:
[tex]\[
40x > 160 + 14x
\][/tex]
4. Solve the inequality:
- First, subtract [tex]\( 14x \)[/tex] from both sides to get like terms on one side:
[tex]\[
40x - 14x > 160
\][/tex]
- This simplifies to:
[tex]\[
26x > 160
\][/tex]
- Next, solve for [tex]\( x \)[/tex] by dividing both sides by 26:
[tex]\[
x > \frac{160}{26} \approx 6.15
\][/tex]
So, Brennan must sell more than 6.15 mailboxes to make a profit. Since he can't sell a fraction of a mailbox, he must sell at least 7 mailboxes.
The correct inequality that Brennan can use to determine the number of mailboxes [tex]\( x \)[/tex] to make and sell for a profit is:
[tex]\[
40x > 160 + 14x
\][/tex]
1. Identify the costs:
- Brennan has an initial investment of \[tex]$160 on tools.
- Each mailbox costs \$[/tex]14 to make.
2. Identify the revenue:
- Brennan sells each mailbox for \[tex]$40.
3. Set up the inequality for making a profit:
- Brennan's total cost to make \( x \) mailboxes is the initial \$[/tex]160 plus \$14 per mailbox: [tex]\( 160 + 14x \)[/tex].
- Brennan's total revenue from selling [tex]\( x \)[/tex] mailboxes is [tex]\( 40x \)[/tex].
To make a profit, the revenue must be greater than the total cost:
[tex]\[
40x > 160 + 14x
\][/tex]
4. Solve the inequality:
- First, subtract [tex]\( 14x \)[/tex] from both sides to get like terms on one side:
[tex]\[
40x - 14x > 160
\][/tex]
- This simplifies to:
[tex]\[
26x > 160
\][/tex]
- Next, solve for [tex]\( x \)[/tex] by dividing both sides by 26:
[tex]\[
x > \frac{160}{26} \approx 6.15
\][/tex]
So, Brennan must sell more than 6.15 mailboxes to make a profit. Since he can't sell a fraction of a mailbox, he must sell at least 7 mailboxes.
The correct inequality that Brennan can use to determine the number of mailboxes [tex]\( x \)[/tex] to make and sell for a profit is:
[tex]\[
40x > 160 + 14x
\][/tex]
Thanks for taking the time to read Brennan recently spent tex 160 tex on woodworking tools so he can make and sell personalized mailboxes Each mailbox costs tex 14 tex to make. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
