The Village Butcher Shop traditionally makes its meat loaf from a combination of lean ground beef and round pork. The ground beef contains 80 percent meat and 20 percent fat, and costs the shop 80 Rupees per pound; the ground pork contains 68 percent and 32 percent of fat, and costs 60 Rupees per pound. Compute the amount of each kind of meat that the shop should use in each pound of meat loaf if it wants to minimize its cost and to keep the fat content of the meat loaf to no more than 25 perecnt. (a) Find the mathematical linear program of the above problem. (b) Use graphical method to find the optimal solution of the above problem.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
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Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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Q No. 5 (a)
The Village Butcher Shop traditionally makes its meat loaf from a combination of lean ground beef and
round pork. The ground beef contains 80 percent meat and 20 percent fat, and costs the shop 80 Rupees
per pound; the ground pork contains 68 percent and 32 percent of fat, and costs 60 Rupees per pound.
Compute the amount of each kind of meat that the shop should use in each pound of meat loaf if it wants
to minimize its cost and to keep the fat content of the meat loaf to no more than 25 perecnt.
(a) Find the mathematical linear program of the above problem.
(b) Use graphical method to find the optimal solution of the above problem.
Transcribed Image Text:Q No. 5 (a) The Village Butcher Shop traditionally makes its meat loaf from a combination of lean ground beef and round pork. The ground beef contains 80 percent meat and 20 percent fat, and costs the shop 80 Rupees per pound; the ground pork contains 68 percent and 32 percent of fat, and costs 60 Rupees per pound. Compute the amount of each kind of meat that the shop should use in each pound of meat loaf if it wants to minimize its cost and to keep the fat content of the meat loaf to no more than 25 perecnt. (a) Find the mathematical linear program of the above problem. (b) Use graphical method to find the optimal solution of the above problem.
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