Math help needed.?

I've finished most of it myself but my teacher says I need the profit to be as an inequality and that I need a graph of my inequality equations. Can someone do that for me? Heres my project I've done so far:

Assigned variables:
x will represent: the number of cakes I want to sell per day.
y will represent: the number of boxes of cupcakes I want to sell per day.
I want to sell at least 10 cakes per day; x ≥ 10.
I want to sell at least 15 boxes of cupcakes per day; y ≥ 15.

Cost of each product (to make):
cakes - $20
cupcakes - $8

Total production cost: 20x + 8y
My company cannot exceed production cost of $400 per day.
20x + 8y ≤ 400


Graphing:
10x + 8y ≤ 400 into slope-intercept
x ≥ 10 and x ≥ 15.
This region is all the possible points (combination of the number of cakes and cupcakes) that you can sell per day.

Profit from Each Product:
I want to make a profit of $30 for each cake and $20 for each box of cupcakes.

Expression for Total Profit:
30x + 20y

Points of Intersection (from the graph):
(10, 25), (10, 15), (14, 15)

Amount of Profit
30(10) + 20(25) = 800
30(10) + 20(15) = 600
30(14) + 20(15) = 720

If 10 cakes and 25 boxes of cupcakes are made, I'll earn $800 that day.
If 10 cakes and 15 boxes of cupcakes are made, I'll earn $600 that day.
If 14 cakes and 15 boxes of cupcakes are made, I'll earn $720 that day.

Maximized Profit Combination:
I will make the most profit if I make 10 cakes and 25 boxes of cupcakes per day.