The Mellow Sounds Inc produces three types of compact discs; easy listening, jazz and rock. Each easy listening disc requires 6 hours of recording, 12 hours of mixing, and 2 hours of editing. Each jazz disc requires 8 hours of recording 8 hours of mixing, and 4 hours of editing. Each rock disc requires 3 hours of recording, 6 hours of mixing, and 1 hour of editing. Each week 288 hours of recording studio time are available, 312 hours of mixing board time available, and 124 hours of editing available. Mellow Sounds receives $6 for each easy listening and rock disc, and $8 for each jazz disc. How many of each type of disc should the company produce each week to maximize their income? What is the maximum income?