Environment: You have just started an entrepreneurial business in which you provide a customized product or service (e.g., custom cookies, cakes, restaurant food, eyeglasses, athletic shoes, or tailored medicine). The delivery process consists of two key steps, which start after obtaining data on the customization needed for a specific customer. Process Info: Step 1 has low process variability with unit process time t_e = 1 hours, SCV c_e² = 0.25, and m = 1 resource. Step 2 has no process time variability, two dedicated resources, and takes exactly two hours per unit (customer order). Assume that customer order arrivals (demands) come to Step 1 with an interarrival time of t_a = 75 minutes and moderate variability corresponding to c_a = 1. Additional Info: On the supply side, there are three components that are used in different amounts to make the end-product sold to the customer. On the delivery side, assume actual delivery lead times (seen by customers = customer order delivery or pickup time order placement time) are expected to be normally distributed with a relatively low CV of 0.3. If the actual delivery lead time is higher than the quoted lead time, you lose (pay a penalty) at the rate of 10 $ per order per hour. If the actual delivery lead time is lower than the quoted lead time, you lose (opportunity cost) at the rate of 5 $per order per hour.

If you were planning the daily production process for your environment / process info using Lean Mixed-Model line, what would the TAKT time be assuming the duration of a working day was 7.5 hours = 450 minutes? What would be a potential challenge of implementing a mixed-model line and how might one overcome the challenge