An Assembly Line Has 4 Stations How Many Stations of Each Type Does the Assembly Line

Essay

An assembly line has 4 stations.All laborers are trained to operate all stations.The union contract limits laborers to a 40 hour work week with no overtime.The company is contracted to produce 320 units per week, with a profit of $1000 per unit.Each unit must proceed through all 4 stations in order.However, there is sufficient work in progress inventory to keep all stations busy at all times.Station information is detailed in the following table: $\begin{array}{lcc}\text { Station } & \text { Time Required Per } & \text { cost to Build the } \\& \text { Unit in minutes } & \text { Station }\\1 & 15 & \$ 5000 \\2 & 20 & \$ 8000 \\3 & 30 & \$ 4000 \\4 & 20 & \$ 10,000\end{array}$ How many stations of each type does the assembly line require to meet demand?