College Algebra Linear functions Help Please

Question

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. The farmer can spend at most $2750 on seed. If crop B brings in a profit of $230 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit?

 acres of crop A

acres of crop B

Answer 1

X+Y = 60

25x + 50y = 2750

Objective function: Profit(x,y) = 110x + 230y

critical points are

(0,55)

(10,50)

(60,0)

which produce profits of, RESPECTIVELY

12650

12600

6600

5 acres of X and 55 acres of Y maxes the profit at 13200