Manufacturing Nadir, Inc. produces three models of television sets: deluxe, super-deluxe, and ultra. Each deluxe set requires 2 hours of electronics work, 3 hours of assembly time, and 5 hours of finishing time. Each super-deluxe requires 1, 3, and 2 hours of electronics, assembly, and finishing time, respectively. Each ultra requires 2, 2, and 6 hours of the same work, respectively.
(a) There are 54 hours available for electronics. 72 hours available for assembly, and 148 hours available for finishing per week. How many of each model should be produced each week if all available time is to be used?
(b) Suppose everything is the same as in part (a), but a super-deluxe set requires 1, rather than 2, hours of finishing time. How many solutions are there now?
(c) Suppose everything is the same as in part (b), but the total hours available for finishing changes from 148 hours to 144 hours. Now how many solutions are there?
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