Afarmer is going to divide her 50 acre farm between two crops. seed for crop a costs $10 per acre. seed for crop b costs $5 per acre. the farmer can spend at most $400 on seed. if crop b brings in a profit of $90 per acre, and crop a brings in a profit of $120 per acre, how many acres of each crop should the farmer plant to maximize her profit?
acres of crop a
acres of crop b

To maximize the profit, the farmer should plant 30 acres of crop A and 20 acres of crop B

Step-by-step explanation:

Let

x -----> the number of acres of crop A

50-x ----> the number of acres of crop B

we know that

----> inequality A

The maximum value of x is 30 acres

The profit is equal to

For x=30

Find the value of P

therefore

To maximize the profit, the farmer should plant 30 acres of crop A and 20 acres of crop B