Bill\'s Grill is a popular college restaurant that is famous for its hamburgers.

Question

Bill's Grill is a popular college restaurant that is famous for its hamburgers. The owner of the restaurant, Bill, mixes fresh ground beef and pork with a secret ingredient to make delicious quarter-pound hamburgers that are advertised as having no more than 25% fat. Bill can buy beef containing 80% meat and 20% fat at $0.85 per pound. He can buy pork containing 70% meat and 30% fat at $0.65 per pound. Bill wants to determine the minimum cost way to blend the beef and pork to make hamburgers that have no more than 25% fat. What is objective function for the mathematical formulation, in words? Select one: O a. To minimize cost O b. To mix pork and beef to make burgers c. To make burgers that contain no more than 25% fat. d. None of the listed

Explanation / Answer

Decision variables are proportion of beef in the mix(X1) and proportion of pork in the mix(X2).

And objective function is to minimize the cost with equation:

MIN(.85 X1+ .65 X2.)

Hence the correct option is a. To minimize cost.

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