Management Science zal Problem Set 1. I Background You own a specialty alarm company that services business that work with extremely high temperatures (restaurants, metals, power plants, etc.) Your alarms can detect excessive heat, mmoke and carbon oxide (CO & CO). You have two basic operations: Production (w) Installation (1) Production Operations For each alarm that you produce you generate roughly $350, it takes roughly 2.5 hours to produce each alarm; your operation work a standard 40 hour work week; and w is the number of alarms you can produce Installation You generate about $80 for each alarm that you install it takes about two hours and to install these units, your installations division works no more than 30 hours a week, and is the number of installations that you are capable of. Managerial Problem Maximize the number of alarms produced and their installations Remember to provide the time frame (days/weeks, etc.) over which you can maximize your values What is the maximum revenue generated? Can we use this model to generate profit? Provide some brief commentary stating why or why not