Amazing Dairy produces$$ yogurt, sour$$ cream, kefir, and cottage cheese in $10$ pound containers for the food service industry. Each product is made in $10$ pound batches and requires similar processing through three machines. Details on Amazing$$ Dairy's product$$ line, including the processing time in minutes at each$$ machine, follows. Amazing Dairy has $3,000$ minutes of processing time available for each machine each week. Develop a linear program that maximizes total revenue.