Beefwiser Inc. processes beef into steak and ground beef. The unprocessed beef is purchased at $4 per pound. Each pound of unprocessed beef yields half a pound of steak and half a pound of ground beef. Steak may be sold in bulk for $14 per pound or cut and packaged into smaller portions and sold for $19 per pound. It takes 1 hour to cut and package 100 pounds of steak. Ground beef may be sold in bulk for $5 per pound or packaged and sold for $6 per pound. It takes 30 minutes to package 100 pounds of ground beef. Each day, at most 1,000 pounds of unprocessed beef can be purchased, and 6 hours of cutting and packaging labor are available. Formulate an LP to maximize Beefwiser's profits. Solve the LP using AMPL and report your solution below.

Pounds/day of unprocessed beef purchased:

Pounds/day of steak sold in bulk:

Pounds/day of packaged steak sold:

Pounds/day of ground beef sold in bulk:

Pounds/day of packaged ground beef sold:

Profit per day: