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 8 units of herring and if Birger's initial endowments are 7 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) 7/p + 8 / 2p = 8.
B) 7/(p + 1) + 4 = 8.
C) 8/7 = p.
D) 7/8 = p.
E) min{8, 7} = p.