Astrid's Utility Function Is U(H_A, C_A)= H_AC_A

Multiple Choice

Astrid's utility function is U(H_A, C_A) = H_AC_A.Birger's utility function is min{H_B, C_B}.If Astrid's initial endowment is no cheese and 20 units of herring and if Birger's initial endowments are 9 units of cheese and no herring, then where p is a competitive equilibrium price of herring and cheese is the numeraire, demand equals supply in the herring market.This implies that

A) 9/p + 20/2p = 20.
B) 9/20 = p.
C) 20/9 = p.
D) 9/(p + 1) + 10 = 20.
E) min{20, 9) = p.