MGMT 3320 - Operations Management Fall 2020 Name: 2. (25 points) Dwight is a local farmer who also raises pigs. He is trying to determine the daily mix made from the available feed to give his pigs. Dwight needs to provide at least 100 pounds of the mix to the pigs each day. There are four different feed types available from the local supplier. The cost, calories, vitamins and protein for each respective feed type are given in the table below. Up to one hundred pounds of each feed type is available to use in the mix, except that only 60 pounds of Feed Type D is available. Nutrition Content (units/lb) FEED TYPE Cost (S/Ib) Calories Vitamins Protein A $1.50 70 30 60 B $2.50 140 80 40 C $2.75 50 30 0 D $1.85 60 75 10 The mix should provide at least 6,000 but no more than 8,000 calories per day. It should also contain at least 7,000 units of vitamins and at least 1.200 units of protein but no more than 2,000 units of protein. Finally because of the high calorie content, no more than one-third of the total mix may be from Feed Type B. Dwight would like to feed his pigs at the minimum cost, but he must be sure to satisfy these nutrition requirements for the health of the livestock. Formulate the linear programming model for this problem. DO NOT ATTEMPT TO SOLVE! a. Define the decision variables (be specific in your definition): b. Define and mathematically formulate the Objective Function: c. Mathematically formulate all relevant constraints (use the back of this sheet if needed). MGMT 3320 - Operations Management Fall 2020 Name: 2. (25 points) Dwight is a local farmer who also raises pigs. He is trying to determine the daily mix made from the available feed to give his pigs. Dwight needs to provide at least 100 pounds of the mix to the pigs each day. There are four different feed types available from the local supplier. The cost, calories, vitamins and protein for each respective feed type are given in the table below. Up to one hundred pounds of each feed type is available to use in the mix, except that only 60 pounds of Feed Type D is available. Nutrition Content (units/lb) FEED TYPE Cost (S/Ib) Calories Vitamins Protein A $1.50 70 30 60 B $2.50 140 80 40 C $2.75 50 30 0 D $1.85 60 75 10 The mix should provide at least 6,000 but no more than 8,000 calories per day. It should also contain at least 7,000 units of vitamins and at least 1.200 units of protein but no more than 2,000 units of protein. Finally because of the high calorie content, no more than one-third of the total mix may be from Feed Type B. Dwight would like to feed his pigs at the minimum cost, but he must be sure to satisfy these nutrition requirements for the health of the livestock. Formulate the linear programming model for this problem. DO NOT ATTEMPT TO SOLVE! a. Define the decision variables (be specific in your definition): b. Define and mathematically formulate the Objective Function: c. Mathematically formulate all relevant constraints (use the back of this sheet if needed)