In: Math
Solve the following problem using algebraic techniques. A manufacturer produces 40-inch, 46-inch and 52-inch television sets that require assembly, testing and packing. Each 40-inch set requires 45 minutes to assemble, 30 minutes to test and 10 minutes to package. Each 46-inch set requires 1 hour to assemble, 45 minutes to test and 15 minutes to package. Each 52-inch set requires 1.5 hours to assemble, 1 hour to test and 15 minutes to package. If the assembly line operates for 17.75 hours per day, the test facility is used for 12.5 hours per day and the packing equipment is used for 3.75 hours per day, how many of each type of set 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