Solve the following problem using algebraic techniques. Amanufacturer produces 40-inch, 46-inch and 52-inch television setsthat require assembly, testing and packing. Each 40-inch setrequires 45 minutes to assemble, 30 minutes to test and 10 minutesto package. Each 46-inch set requires 1 hour to assemble, 45minutes to test and 15 minutes to package. Each 52-inch setrequires 1.5 hours to assemble, 1 hour to test and 15 minutes topackage. If the assembly line operates for 17.75 hours per day, thetest facility is used for 12.5 hours per day and the packingequipment is used for 3.75 hours per day, how many of each type ofset can be produced?
(1) Define your variables
(2) Set up a system of equations
(3) Solve the system
(4) Write a complete sentence to indicate your solution
