Linear Programming

2. (20 points) An assembly line consisting of three consecutive stations produces two radio models: HiFi-1 and HiFi-2. To produce a good in an assembly line, tasks are to be done sequentially (i.e. the radio model is first constructed in the first workstation, then brought over to the second workstation, and so on). The following table provides the assembly times (in minutes per unit) for the three workstations: Table 1. Workstation Assembly Times Workstation HiFi-1 HiFi-2 1 6 4 2 5 5 3 4 6 The daily maintenance for stations 1, 2, and 3 consumes 10%, 14%, and 12%, respectively, of the maximum 480 minutes available for each station each day. Determine the optimal product mix that will maximize the most amount of radios produced by formulating the problem as a linear program and finding the optimal solution using the graphical method