# solution

The American Poultry Company produces two types of chicken cutlets for sale to restaurants. Each type of cutlet consists of white meat and dark meat. Cutlet 1 sells for \$5 per pound and must consist of between 70% and 80% white meat (by weight). Cutlet 2 sells for \$4 per pound and must consist of between 60% and 70% white meat (by weight). Market research indicates that at most 1000 pounds of cutlet 1 and 600 pounds of cutlet 2 can be sold each week. The two types of chickens used to manufacture the cutlets are purchased from various chicken farms. Each grade A chicken costs \$8 and yields 6 pounds of white meat and 2 pounds of dark meat. Each grade B chicken costs \$6 and yields 4 pounds of white meat and 3 pounds of dark meat. Formulate an LP model that determines how this company can maximize its total weekly profit from the production and sale of the two types of cutlets. I suggest you write down the complete formulation, including decision variables, objective function, and constraints first before you answer the multiple-choice questions. Which can not be the decision variable? O A. Lbs of white meat used in Cutlet 1 O B. Lbs of Cutlet 1 to produce O C. Number of Grade A Chicken to buy OD. Maximum Lbs of Cutlet 1 to sell
Given the following decision variables: X1: lbs of Cutlet 1 to produce X2: lbs of Cutlet 2 to produce C1: Number of grade A chicken to buy C2: Number of grade B chicken to buy W1: lbs of white meat used in Cutlet 1 W2: lbs of white meat used in Cutlet 2 D1: lbs of dark meat used in Cutlet 1 D2: lbs of dark meat used in Cutlet 2 What is the objective function? A. Min 5(W1+D1)+4(W2+D2)-8C1-6C2 O B. Max 5X1+4X2-8C1-6C2 O C. Max 5X1+4X2-8C1-6C2-8D1-6D2 OD. Max 5X1+4X2-6C1-402
Which represents the lower bond of white meat percentage constraint for cutlet 1? Note that we prefer all the decision variables are on the left-hand side of the constraint. O A.0.2W1-D1=0 C.0.3W1-D1>=0 OD.0.3W1-D1