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.

To represent the spending limit in this scenario, we can create an inequality. Let's assume the number of small items is represented by "s", medium items by "m", and large items by "l".

The cost of the paints is a one-time expense, so it can be subtracted from the total spending limit. The cost of the paints is $59.99, so the remaining budget for the items will be $70 - $59.99 = $10.01.

To determine the total cost of the items, we will multiply the number of items in each category by their respective costs and sum them up.

The inequality representing the spending limit can be written as:

5s + 7m + 10l ≤ 10.01

This inequality ensures that the total cost of all the items does not exceed the remaining budget after purchasing the paints.

Let's use the variable "x" to represent the number of small items, "y" to represent the number of medium items, and "z" to represent the number of large items.

The cost of small items is $5 each, so the total cost for small items will be 5x.
The cost of medium items is $7 each, so the total cost for medium items will be 7y.
The cost of large items is $10 each, so the total cost for large items will be 10z.

To represent the fact that you can't exceed the $70 spending limit, we can set up the following inequality:

5x + 7y + 10z ≤ 70

This inequality ensures that the total cost of all the items you paint does not exceed $70.

I changed it

I am willing to have a $70 investment into my business
I will create a personal design shirt printing business, because I already draw digitally in my freetime, so it would be the easiest thing I could do.
I will draw something, or someone could put in a request of what they want, and I will put it on a shirt or hoodie.
Shirt:$15, Hoodie:$18. I will sell shirts for $18 and hoodies for $22.
Yes, my business will be profitable, although shirts will only give me $3 profit and hoodies will give me $4