PLEASE show all work and explain each step.

A doughnut company begins with the three-step process shown below. There are three dedicated workers, each assigned to one step. Mixing the dough is performed by one worker. Creating the doughnut shape from the dough is performed by the second worker. Batches of doughnuts from Shaping are processed in a flavoring machine in the third step, staffed by the third worker. We shall ignore the remaining tasks required to make doughnuts, such as frying and packing, for simplicity because they have ample capacity and require negligible labor time. Mixing Shaping Flavoring 15 25 30 Setup time (minutes per batch) Run time (minutes per doughnut) 0.35 0.30 0.05 All setups are done by the workers. A setup must be performed in each step of the process for each batch after the batch reaches the worker. Suppose that the batch size is 100 doughnuts. 1. What is the capacity of the above process in doughnuts per hour? 2. Suppose demand is sufficient. What is the (actual) utilization of the three workers staffing the operation? 3. For what range of batch sizes is Mixing the bottleneck