Question

Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats. When writing constraints for the problem, what is the most reasonable definition for the variables x and y? Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used. Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made. Let x represent the number of dog bone treats made and y represent the number of cups of flour used. Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.

Answer 1

The variable x and y will stand for the peanut butter and flour.
x can be the peanut butter while y can be the flour. The constraints are: x = 10 cupsy = 12 cups
dogbone treat: 3x + 2y oatmeal dog treat: x + 4y