A fast food chain is attempting to respond to customer demand for more healthy food by introducing a new birdburger made from combination of chicken and beef. The new burger should weight at least 125 grams and have at most 350 calories, 15 grams of fat, and 360 milligrams of sodium. Each gram of beef used has 2.5 calories 0.2 gram of fat, and 3.5 milligrams of sodium. Corresponding values for chicken are 1.8 calories, 0.1 gram, and 2.5 milligrams. The fast food wants to find the mix that will meet all requirements and maximize beef content.
Formulate a mathematical programming model to decide an optimal birdburger blend. Make sure to clearly define your decision variables, objective function, and constraints.