The Donnor meat processing firm produces wieners from four ingredients: chicken, beef, pork, and a cereal additive. The firm produces three types of wieners: regular, beef, and all-meat. The company has the following amounts of each ingredient available on a daily basis:

Pounds/Day Cost/Pound Chicken 200 $0.20 Beef 300 0.30 Pork 150 0.50 Cereal additive 400 0.05 Each type of wiener has certain ingredient specifications, as follows:

Specifications Selling Price/Pound Regular Not more than 10% beef and pork combined $0.90 Not less than 20% chicken Beef Not less than 75% beef 1.25 All-meat No cereal additive 1.75 Not more than 50% beef and pork combined The firm wants to know how many pounds of wieners of each type to produce to maximize profits.

a. Formulate a linear programming model for this problem.

b. Solve the model by using the computer. LO.1