Q$1.$ Based on the model above and assumptions below, calculate the cycle time in seconds.

Assume that, on average and including waiting time, $$Take customer$$s order$$ and $$Process payment$$ task each takes $30$ seconds. The $$Cook fries in fryer$$ task takes $3$ minutes, the $$Grill patties$$ task takes $2$ minutes, the $$Place buns in toaster$$ takes $40$ seconds, and the $$Assess quality$$ task takes $3$ minutes. All other tasks take $5$ seconds.

In $30\%$ of the cases, fries are not ready and will need to be cooked.

In $20\%$ of the cases, the patties and buns are not ready and will need to be cooked.

In $5\%$ of the cases, the quality of the patties and buns are not acceptable and will have to be prepared and cooked again.