Below is the graph of the rate r at which people arrive for lunch at Cafeteria Charlotte.Checkers start at 12:00 noon and can pass people through at a constant rate of 5 people/minute.Let f(t)be the length of the line (i.e.the number of people)at time t.Suppose that at 11:50 there are already 150 people lined up.Using the graph together with this information, when is the line the longest? 
Definitions:
Malignant Melanoma
A type of skin cancer that develops from melanocytes and can spread to other parts of the body.
Skin
The outer protective layer of the body that acts as a barrier against environmental elements and pathogens.
Laminectomy
The removal of a portion of the vertebral posterior arch.
Vertebra
A bone in the spine (also known as a spinal bone) that encloses and protects the spinal cord, while also providing structural support to the body.
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