1. C-town brewery brews two beers: Expansion Draft and Burning River. Expansion Draft sells for $20 per barrel, while Burning River sells for $8 per barrel. Producing a barrel of Expansion Draft takes 8 pounds of corn and 4 pounds of hops. Producing a barrel of Burning River requires 2 pounds of corn, 6 pounds of rice, and 3 pounds of hops. The brewery has 500 pounds of corn, 300 pounds of rice, and 400 pounds of hops. Assuming a linear relationship,

1. What are the decision variables?

1. What is the objective function?

1. What are the constraints?