How am I supposed to solve this?

"Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake that she sells. Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day. She wants to earn at least $25 per day. Show and describe all the possible combinations of lemonade and cupcakes that sandy needs to sell to meet her goals. List two possible combinations."

I apologize, but I still don't understand.

How would I construct a graph for this?

maximize p = profit = 2 L + 1 C >/= 25

L >/= 5
C>/=5

start with L = 5
10+C >/= 25
C >/= 15

if L = 6
12 + C >/= 25
C >/= 13
so
L 7, C 11
L 8 ,C 9
L 9 , C 7
L 10, C 5
are your MINIMUM combinations. Of course you can always sell more

You had to have at least 5 L or lemonade

so I started there
to get $25 I needed at least 15 cupcakes
every time I added a lemonade, I needed two less cupcakes
until finally I got to 10 lemonades and 5 cupcakes
I had to have at least 5 cupcakes, so there it ended

To solve this problem, we need to consider the constraints given and find all the possible combinations of lemonade and cupcakes that allow Sandy to meet her goals. Let's break down the problem step by step:

1. Determine the constraints:
- Sandy makes $2 profit on every cup of lemonade sold.
- Sandy makes $1 profit on every cupcake sold.
- Sandy wants to sell at least 5 cups of lemonade per day.
- Sandy wants to sell at least 5 cupcakes per day.
- Sandy wants to earn at least $25 per day.

2. Set up the equations:
- Let L represent the number of cups of lemonade sold.
- Let C represent the number of cupcakes sold.
- Profit from lemonade sales = $2 * L
- Profit from cupcake sales = $1 * C
- Total profit = $2L + $1C

3. Determine the possible combinations:
- Based on the constraints, we know that Sandy must sell at least 5 cups of lemonade per day and 5 cupcakes per day.
- We need to find the combinations of L and C that satisfy the equation $2L + $1C ≥ $25 while meeting the minimum requirements of 5 cups of lemonade and 5 cupcakes.

4. List two possible combinations:
- Combination 1:
- L = 5 (minimum requirement)
- C = 15 (to reach the $25 goal)
- Profit from lemonade sales = $2 * 5 = $10
- Profit from cupcake sales = $1 * 15 = $15
- Total profit = $10 + $15 = $25

- Combination 2:
- L = 10 (to reach the $25 goal)
- C = 5 (minimum requirement)
- Profit from lemonade sales = $2 * 10 = $20
- Profit from cupcake sales = $1 * 5 = $5
- Total profit = $20 + $5 = $25

These are just two possible combinations that satisfy the given conditions. There may be more combinations, but these are the minimum requirements to meet Sandy's goals.