Chapter 11.8, Problem 25AE

Managing a Meat Market A meat market combines ground beef and ground pork in a single package for meat loaf. The ground beef is $75\%$ lean ( $75\%$ beef, $25\%$ fat) and costs the market $\$0.75$ per pound (lb). The ground pork is $60\%$ lean and costs the market $\$0.45/\text{lb}$. The meat loaf must be at least $70\%$ lean. If the market wants to use at least 50 lb of its available pork, but no more than 200 lb of its available ground beef, how much ground beef should be mixed with ground pork so that the cost is minimized?