Final answer:
To determine line efficiency, use the formula (1 - (Total Downtime per cycle / Total Time per Cycle)) * 100. The production rate can be calculated using the formula ((Number of Stations * Total Time per Cycle) / (1 + (Number of Stations * Downtime per cycle))). Total cost cannot be determined without specific cost information.
Step-by-step explanation:
To determine the line efficiency, we can use the formula:
Line Efficiency = (1 - (Total Downtime per cycle / Total Time per Cycle)) * 100
In this case, the total downtime per cycle is given as 50 minutes and the cycle time is 0.5 minutes. Plugging in these values, we get:
Line Efficiency = (1 - (50 / 0.5)) * 100 = -9800%
Since line efficiency cannot be negative, there might be an error in the provided information. Please double-check the data.
To calculate the production rate, we can use the formula:
Production Rate = ((Number of Stations * Total Time per Cycle) / (1 + (Number of Stations * Downtime per cycle)))
In this case, the number of stations is 20, the total time per cycle is 0.5 minutes, and the downtime per cycle is 50 minutes. Plugging in these values, we get:
Production Rate = ((20 * 0.5) / (1 + (20 * 50))) = 0.0019 units per minute
To calculate the total cost for this configuration, we would need more information about the specific costs associated with the labor, materials, and tooling. Without that information, it is not possible to determine the exact cost.