A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Nebraska.
The price per pound of the Iowa corn is 60 cents, and that coop can supply up to 8000 pounds of corn.
The price per unit of the Nebraska corn is 55 cents, and that coop must supply at least 6000 pounds of corn.
He needs at least 12000 pounds of corn, and can spend up to $10,000 to purchase the corn.
He wants to determine how much corn he should buy from each Coop to minmize total cost. He defines:
I = pounds of corn to be purchased from Iowa Coop
N= pounds of corn to be purchased from Nebraska Coop.
What are the constraints for this problem? Exclude non-negativity constraints.