A simple way to amortize a loan is to have the borrower pay the interest each period plus some fixed amount. This approach is common with $-$term business loans.Classic New Orleans desserts include pralines, pecan pie and Bananas Foster. A recipe for a dozen pralines takes a cup of pecans, two cups of brown sugar, a cup of granulated sugar, a half teaspoon of vanilla and a tablespoon of rum. A pecan pie takes two cups of pecans, a cup of brown sugar, a cup of cane syrup, a cup of granulated sugar, a teaspoon of vanilla, and a tablespoon of rum. A recipe for Bananas Foster requires a cup of pecans, a cup of brown sugar, a cup of granulated sugar, a banana, and a tablespoon of rum. Your pantry has on hand $24$ cups of pecans, $40$ cups of brown sugar, $12$ cups of cane syrup, $20$ cups of granulated sugar, $40$ teaspoons of vanilla, twelve bananas, and $64$ tablespoons of rum. We want to maximize profit. The objective coefficient represents profit for each.

How many decision variables are there?