Write an inequality that represents the fact that while making your product
you can’t exceed this spending limit.
I will create a “Bring Your Own Item” painting job where people give me shoes, shirts, phone cases, etc; and I paint them. I am willing to have a $70 investment. Because then I don't have to pay for the materials I paint on, and a pack of large bottles of paints are $59.99 at my local store, and those paints last for about a year, I will have a cost of $5 for small items(ex. phone cases), $7 for medium(shoes, water bottles), and $10 for large items(shirts, hoodies). Yes, I do think it would be profitable because people like their personal belongings to be unique, and affordable.
Let's represent the spending limit as "S" and the number of small items, medium items, and large items as "x," "y," and "z" respectively.
The cost of small items is $5, so the total cost of small items will be 5x.
The cost of medium items is $7, so the total cost of medium items will be 7y.
The cost of large items is $10, so the total cost of large items will be 10z.
To ensure that the spending limit is not exceeded, we can write the following inequality:
5x + 7y + 10z ≤ S
In this scenario, since you want to have a $70 investment and don't have to pay for the materials you paint on, the inequality would be:
5x + 7y + 10z ≤ 70
To represent the fact that you can't exceed the spending limit of $70, we can create an inequality.
Let's assign variables to represent the number of small, medium, and large items you paint. Let's use the variables "s" for small, "m" for medium, and "l" for large.
Based on the given information, we know that the cost for each small item is $5, for each medium item is $7, and for each large item is $10.
So, the total cost "c" of making your product can be calculated as:
c = 5s + 7m + 10l
To ensure that the total cost doesn't exceed your spending limit of $70, we can write the following inequality:
5s + 7m + 10l ≤ 70
This inequality states that the sum of the costs of all the items painted (small, medium, and large) should be less than or equal to $70.