Because Income depends on work effort and work effort depends on nutrition, suppose the relationship between income (Y) and total food availability (F) in a poor household is given by:

Y = 10F + 20F²- 0.6F³

a) If food availability in a two-person household is 20, would it be "rational" to share the food? Explain.

b) If food availability in a two-person household is 30, would it be "rational" to share the food? Explain.