Question

Tristan is an artist who creates both small metal sculptures and stone carvings.

In Tristan's first month of online sales, he sold 4 small metal sculptures and 8 stone carvings and made a profit of $473.44.
The second month of online sales, he sold 7 small metal sculptures and 6 stone carvings and made a profit of $444.68
Tristan needs to buy new supplies and wants to put some money in a business savings account. For the next 4 months he decided to only buy supplies for the art form for which he earns the most profit.
Select the most appropriate conclusion below.
(a) Tristan should buy supplies for stone carvings because every stone carving he sells makes a profit of $47.98.
(b Tristan should buy supplies for small metal sculptures because every small metal sculpture he sells ) makes a profit of $47.98.
(c) Tristan should buy supplies for small metal sculptures because every small metal sculpture he sells makes a profit of $22.4.
(d Tristan should buy supplies for stone carvings because every stone carving he sells makes a profit of ) $22.4.
(e) Tristan should buy supplies for both small metal sculptures and stone carvings because he earns an average profit of about $35.19 for every item he sells.

Answer 1

Tristan should buy supplies for small metal sculptures because he earns a higher profit per sculpture compared to stone carvings.

Step-by-step explanation:

In order to determine which art form Tristan should buy supplies for, we need to compare the profit he makes from each type of sculpture.

For the first month, Tristan sold 4 small metal sculptures and 8 stone carvings, making a profit of $473.44. To find the profit for each sculpture, we can divide the total profit by the total number of sculptures sold. For small metal sculptures, the profit per sculpture is $473.44 / 4 = $118.36. For stone carvings, the profit per sculpture is $473.44 / 8 = $59.18.

Similarly, for the second month, Tristan sold 7 small metal sculptures and 6 stone carvings, making a profit of $444.68. The profit per sculpture for small metal sculptures is $444.68 / 7 = $63.53, and for stone carvings is $444.68 / 6 = $74.11.

Based on these calculations, Tristan should buy supplies for small metal sculptures because he earns a higher profit per sculpture compared to stone carvings.

Answer 2

After calculating the profit per item for both small metal sculptures and stone carvings using the given data, it was determined that small metal sculptures yield a higher profit per item ($59.49) compared to stone carvings ($29.93). Thus, Tristan should focus on buying supplies for small metal sculptures.

Step-by-step explanation:

Using the provided sales information, we need to determine which type of artwork is more profitable for Tristan. In the first month, he sold 4 small metal sculptures and 8 stone carvings for a profit of $473.44. In the second month, he sold 7 metal sculptures and 6 stone carvings for a profit of $444.68.

To find out the profit per item, we can set up two equations based on the information given:

1. 4m + 8s = 473.44
2. 7m + 6s = 444.68

Here, m represents the profit from one metal sculpture and s represents the profit from one stone carving. Solving this system of equations, we find that m (profit per metal sculpture) is approximately $59.49 and s (profit per stone carving) is approximately $29.93. Therefore, Tristan should focus on creating more small metal sculptures as they yield a higher profit per item compared to stone carvings.

So, the most appropriate conclusion is:

(b) Tristan should buy supplies for small metal sculptures because every small metal sculpture he sells makes a profit of $59.49.