2 Persons are left with 200 lbs of food. They each have a utility-level expressed by

\(U_{1}(F_{1})=\sqrt{F_1}\) and \(U_{2}(F_{2})=1/2\sqrt{F_2}\)

The amount of food they each consume is defined by \(F_{i}\)

1) How should the food be allocated in order for the persons to have the same use/utility

2) How should the food be allocated if they want to maximise their use/utility

3) If person no. 2 needs a utilitylevel of at least 5 to survive, how should the food be allocated if they still want to maximise their use, without letting person no. 2 die?