linear programming word problem

[mhernandez24]

Two different crops are to be planted on, at most 250 acres. There are at most 20 days available to plant crops. Ten acres of corn can be planted in one day, 15 acres of soybeans can be planted in a day. They cannot be planted at the same time. How many acres of each should be planted to maximize profit if corn earns $30/acre and soybean $25/acre?

Answer: 100 acres corn, 150 acres soybeans

I'm trying to figure out my constraints (i think that's the right term). the ones I'm using don't get the right answer.

C = corn and B = soyBeans
Equations for graph: 10C + 15B <= 250; C + B <= 20; C >= 0; B >= 0

 

[Deleted member 4993]

Two different crops are to be planted on, at most 250 acres. There are at most 20 days available to plant crops. Ten acres of corn can be planted in one day, 15 acres of soybeans can be planted in a day. They cannot be planted at the same time. How many acres of each should be planted to maximize profit if corn earns $30/acre and soybean $25/acre?

Answer: 100 acres corn, 150 acres soybeans

I'm trying to figure out my constraints (i think that's the right term). the ones I'm using don't get the right answer.

C = acers of corn and B = acers of soyBeans
Equations for graph: 10C + 15B <= 250; C + B <= 20; C >= 0; B >= 0 <<< Incorrect

days to plant corn = C/10

days to plant soybean = B/15

Then one of the constraint ? C/10 + B/15 ? 20

The other B + C ? 250

And

B ? 0 ......... C ? 0

Optimizing function ? 25*B +30*C