Robinson Crusoe Has Exactly 10 Hours Per Day to Spend

Robinson Crusoe has exactly 10 hours per day to spend gathering coconuts or catching fish. He can catch 3 fish per hour or he can pick 6 coconuts per hour. His utility function is U(F, C) = FC, where F is his consumption of fish and C is his consumption of coconuts. If he allocates his time in the best possible way between catching fish and picking coconuts, his consumption will be the same as it would be if he could buy fish and coconuts in a competitive market where the price of coconuts is $1.

A) His income is $60 and the price of fish is $2.
B) His income is $60 and the price of fish is $.33.
C) His income is $90 and the price of fish is $3.
D) His income is $30 and the price of fish is $3.
E) His income is $45 and the price of fish is $.33.