Ventaz Corp manufactures small windows for back yard sheds. Historically, its demand has ranged from 30 to 50 windows per day with an average of 43. Alex is the one production worker and he works eight hours a day, five days a week. Each order is one window and each window takes 7 minutes. Alex plans to add doors to its product line and anticipates that they will average 2 doors per day. Each door takes V4 minutes to install.
What is the average waiting time, in minutes, if Alex continues to be the only worker?

Question

Quizplus · Accepted Answer

The average demand for windows is 43 per day, and each window takes 7 minutes, so the total time for windows is $43 \times 7 = 301$ minutes. The anticipated demand for doors is 2 per day, and each door takes 4 minutes, so the total time for doors is $2 \times 4 = 8$ minutes. The total work time per day is $301 + 8 = 309$ minutes. Alex works 8 hours a day, which is $8 \times 60 = 480$ minutes. The average waiting time per day is the total work time minus the total available work time, which is $309 - 480 = -171$ minutes. However, since waiting time cannot be negative, this calculation seems to be misinterpreted. Instead, we should calculate the excess work time that cannot be completed in a day, which would actually contribute to a backlog or waiting time for future work. Given the misunderstanding in the initial calculation, let's correct the approach by considering the capacity and demand properly. The correct calculation should focus on the capacity utilization and the potential backlog created due to the excess of demand over capacity, which then translates into waiting time. However, without a direct method to calculate waiting time from the given information and without a clear formula for backlog to waiting time conversion in the question, the provided calculation was incorrect. The correct approach to find the average waiting time would involve understanding the system's capacity, the demand, and how much of the demand exceeds the capacity, then translating that into waiting time based on the system's operational characteristics. Since the question does not provide a direct way to calculate waiting time based on excess demand or a queueing theory model, the initial response failed to accurately address the calculation of waiting time. Given the lack of specific details on how to convert excess demand into waiting time and without applying a specific queueing theory model or operational formula, the calculation provided does not accurately answer the question as intended. The correct answer would depend on additional information or a clear model for calculating waiting time based on demand and capacity.

Ventaz Corp Manufactures Small Windows for Back Yard Sheds