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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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