A company makes DVD players and TV sets. Each DVD player requires 3 hours of assembly and ½ hour of packaging, while each TV set requires 5 hours of assembly and 1 hour of packaging.
(a) Write a matrix T representing the required time for Assembly and packaging of DVD players and TV sets.
(b) The company receives an order from a retail outlet for 30 DVD players and 20 TV sets. Find a matrix S so that either ST or TS gives the total assembly time and the total packaging time required to fill the order. What is the total assembly time? What is the total packaging time?