Reference no: EM131791268

Alpine Attic is the charity sponsored by local churches in Denver, Colorado. Literally thousands of items, including televisions and stereos, are donated each year, most in need of repair. Repaired televisions and stereos typically sell for $50 and $30 each at the Alpine Attic Thrift Store. To repair these, Alpine Attic depends on John Lucas who owns JL Electronics, a deacon at St. Paul’s Episcopal Church. Each month, he can donate 45 hours of an electrician’s time and 30 hours of a technician’s time. But this is not enough time to repair all of the televisions and radios donated. To repair a television, it takes average of 90 minutes of electrician’s time and 30 minutes of a technician’s time. To repair a stereo, it takes an average of 45 minutes of an electrician’s time and 60 minutes of a technician’s time. Alpine Attic would like to determine how to best use the electrician’s and technician’s time to realize the maximum possible profit from the donated televisions and stereos. Write down a linear programming model to decide how many televisions and stereos should be repaired each month. Do not attempt to solve. Don’t forget to define the decision variables first.