Suppose a meat market mixes its own meatloaf by combining ground beef and ground pork. The goal is to have at least 70% lean meatloaf. The ground beef is 80% lean and costs $2 a pound and the ground pork is 65% lean and costs $1.25 a pound. The market wants to use no more than 215 pounds of beef, but at least 70 pounds of pork. How many pounds of beef and pork should be used to minimize the cost? What is the minimum cost?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 5CT: A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25...
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Suppose a meat market mixes its own meatloaf by combining ground beef and ground pork. The goal is to have at least 70% lean meatloaf. The ground beef is 80% lean and costs $2 a pound and the ground pork is 65% lean and costs $1.25 a pound. The market wants to use no more than 215 pounds of beef, but at least 70 pounds of pork.

  1. How many pounds of beef and pork should be used to minimize the cost?
  2. What is the minimum cost?
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