You run the Tyson plant next to the UofA baseball stadium. You specialize in mass producing...

Transcribed Image Text:

You run the Tyson plant next to the UofA baseball stadium. You specialize in mass producing hamburgers by blending different types of meat sources from slaughterhouses across the country. Three sources of meat can be used. The following table summarizes the relevant characteristics of these meats: Source of Beef Oklahoma City $0.87 Dodge City Guymon $0.98 5.0% $0.75 Cost per Pound % Fat 15.0% 10.0% 70.0% 12.0% % Protein 75.0% 80.0% % Water 10.0% 8.0% % Filler 7.0% 3.0% Fayetteville high school has ordered 500 pounds of meat for $1.10 per pound. The only requirement is that the meat consists of at least 75% protein and at most 10 % each of water and 5.0% filler. Ordinarily, you would produce the meat blends that achieved this objective in the least costly manner. However, with the concern of too much fat in school lunches, you also want to produce a blend that minimizes the fat content of the meat produced. a. Formulate a MOLP for this problem in a spreadsheet and optimize the two objectives under consideration. b. How much profit is forfeited in order to fill this order using the mix that minimizes fat content? c. Solve this problem with the objective of minimizing the maximum percentage deviation from the target values of the goals. What solution do you obtain? You run the Tyson plant next to the UofA baseball stadium. You specialize in mass producing hamburgers by blending different types of meat sources from slaughterhouses across the country. Three sources of meat can be used. The following table summarizes the relevant characteristics of these meats: Source of Beef Oklahoma City $0.87 Dodge City Guymon $0.98 5.0% $0.75 Cost per Pound % Fat 15.0% 10.0% 70.0% 12.0% % Protein 75.0% 80.0% % Water 10.0% 8.0% % Filler 7.0% 3.0% Fayetteville high school has ordered 500 pounds of meat for $1.10 per pound. The only requirement is that the meat consists of at least 75% protein and at most 10 % each of water and 5.0% filler. Ordinarily, you would produce the meat blends that achieved this objective in the least costly manner. However, with the concern of too much fat in school lunches, you also want to produce a blend that minimizes the fat content of the meat produced. a. Formulate a MOLP for this problem in a spreadsheet and optimize the two objectives under consideration. b. How much profit is forfeited in order to fill this order using the mix that minimizes fat content? c. Solve this problem with the objective of minimizing the maximum percentage deviation from the target values of the goals. What solution do you obtain?

Answer rating: 100% (QA)

a The two objectives which is to be considered are as follows 1 Least cost 2 Minimum of the fat cont... View the full answer