Assignment:
A meatpacking house is creating a new variety of hot dog for the low-calorie, low-fat, low-cholesterol market. This new hot dog will be made of beef and pork, plus either chicken, turkey, or both. It will be marketed as a 2-ounce all-meat hot dog, with no fillers. Also, it will have no more than 6 grams of fat, no more than 27 grams of cholesterol, and no more than 100 calories. The cost per pound for beef, pork, chicken, and turkey, plus their calorie, fat, and cholesterol counts, are shown in the following table.
The packer would like each 2-ounce hot dog to be at least 25% beef and at least 25% pork.
Formulate the given problem scenario as a linear program for the meatpacking house by recommending the most economical combination of four meats to make this hot dog. Solve the problem using Microsoft Excel Solver. For the formulation, provide a complete description of the decision variables used along with their units and also label the constraints mentioned in the problem as completely as possible. Also, the Excel set-up should provide clearly labeled values used for the decision variables, constraints, and objective function.