Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Solution:
Given:
For expenses:
[tex]\begin{gathered} Total\text{ expenses}=advertising\text{ fee}+material\text{ cost} \\ Let\text{ the number of necklaces be represented by }x \\ Total\text{ expenses}=24+8x \end{gathered}[/tex]For sales:
[tex]\begin{gathered} \text{ \$14 per necklace} \\ Total\text{ sales}=14x \end{gathered}[/tex]At break-even, he will neither make profit nor loss.
At break-even, the expenses are equal to the sales.
Hence,
[tex]\begin{gathered} 24+8x=14x \\ Collecting\text{ the like terms,} \\ 24=14x-8x \\ 24=6x \\ Dividing\text{ both sides by 6 to get }x; \\ \frac{24}{6}=x \\ x=4\text{ necklaces} \end{gathered}[/tex]Hence,
[tex]\begin{gathered} Total\text{ expenses}=24+8x \\ Total\text{ expenses}=24+8(4) \\ Total\text{ expenses}=24+32 \\ Total\text{ expenses}=\text{ \$56} \\ \\ \\ Total\text{ sales}=14x \\ Total\text{ sales}=14(4) \\ Total\text{ sales}=\text{ \$}56 \end{gathered}[/tex]Therefore, at break-even, the total expenses will be $56 and the total sales will be $56.
It will take the sales of 4 necklaces to reach break-even.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
