Help. ​

Here are the constraints

y  ≥  x  + 100

x + 2y  ≤ 1400

And  we seek to maximize this

14x + 22y - 900

Here's the graph of the constraints :  https://www.desmos.com/calculator/rjxwpnzj24

a.  We have only one vertex at  (400,500)

b.  This point is a corner point.....the profit max occurs here

So....the max profit  is  14(400) + 22(500)  - 900  = $ 15700