The Girl Scouts have a long successful history of selling cookies at inflated prices. Suppose in the area's inverse demand for cookies can be described as follows:
P = Y - mQ
Assume the Girl Scouts purchase their cookies from an area bakery at a set price of $40 a crate, where each crate holds 10 boxes.
Find the profit maximizing quantity for the Girl Scouts. Explain the role of m, why would m be a higher number for Girl Scout cookies than regular cookies?