Question

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 2,500 minutes of processing time available for each machine each week. Develop a linear program that maximizes total revenue. Let X1number of 10 pound containers of yogurt, x2number of 10 pound containers of sour cream, Xnumber of 10 pound containers of kefir number of 10 pound containers of cottage cheese X3 number of 1o pound containers of kefir, X number of 10 pound containers of cottage cheese Objective function: Maximize: Z- 17.5x, 22.5 x2+ 32.5x3 7.5 X Enter your responses rounded to two decimal places) Constraints Demand for yogurt constraint Demand for sour cream constraint Demand for kefir constraint Demand for cottage cheese constraint Machine 1 availability constraint Machine 2 availability constraint Machine 3 availability constraint Nonnegativity constraints x, x2, x3, x4 20 Price per pound Weekly demand Processing Time at Machine 1 Processing Time at Machine 2 Processing Time at Machine 3 Yogurt $1.75 100 lbs 15 minutes per 10 lb. batch 30 minutes per 10 lb. batch 5 minutes per 10 lb. batch Sour Cream $2.25 250 lbs 15 minutes per 10 lb. batch 5 minutes per 10 lb. batch 15 minutes per 10 lb. batch Kefir $3.25 70 lbs 15 minutes per 10 lb. batch 15 minutes per 10 lb. batch 20 minutes per 10 lb. batch Cottage Cheese $0.75 160 lbs 15 minutes per 10 lb. batch 10 minutes per 10 lb. batch 20 minutes per 10 lb. batch

Answer 1