Please help with these preference problems!

4. Alice, Ben, Carly, and Dan do incredibly well in college and the four of them go to medical school and eventually become doctors. They coincidentally enter the labor market in the same area and form preferences over four potential hospitals W,X,Y, and Z, to work in. Management at each hospital also form priority orderings on the four doctors (including the possibility of determining one or more is unacceptable). a. Consider the following assignment: Alice is assigned to Y, Ben is assigned to Z, Carly is assigned to W, and Dan is assigned to X. Does this assignment lead to justified envy? Explain. b. Consider a new assignment: Alice is assigned to W, Ben is assigned to Z, Carly is assigned to Y, and Dan is assigned to X. Does this assignment lead to justified envy? Explain. c. Use the SD algorithm with the following order: Ben, Alice, Dan, Carly. What assignment does this result in? Does this assignment lead to justified envy