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 2,400 minutes of processing time available for each machine each week. Develop a linear program that maximizes total revenue.

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Cottage Cheese Yogurt Sour Cream Kefir Price per pound $1.50 $2.00 $3.50 $1.25 Weekly demand 200 Ibs. 350 lbs. 50 lbs. 150 lbs. 15 minutes per 10 lb. batch 10 minutes per 10 lb. batch Processing Time at 15 minutes 5 minutes per 10 lb. batch per 10 lb. batch Machine 1 25 minutes per 10 lb. batch Processing Time at 10 minutes 15 minutes 5 minutes per 10 lb. batch per 10 lb. per 10 lb. batch Machine 2 batch 5 minutes Processing Time at 15 minutes 30 minutes 20 minutes per 10 lb. batch per 10 lb. batch per 10 Ib. batch per 10 lb. batch Machine 3