Joseph's Utility Function Is Given by U_J = X_A

Joseph's utility function is given by U_J = x_A + 2x_B, where x_A denotes his consumption of apples and x_B his consumption of bananas. Clara's utility function is given by U_C = 3x_A + 2x_B. Joseph and Clara shop at the same grocery store.

A) When we observe that Joseph leaves the store with some bananas, then we can deduce that Clara also buys some bananas.
B) There exist prices of apples and bananas such that both consumers buy strictly positive amounts of both goods.
C) When we observe that Joseph leaves the store with some apples and some bananas, then we can deduce that Clara also buys some apples and some bananas.
D) When we observe that Joseph leaves the store with some apples, then we can deduce that Clara also buys some apples.
E) Apples and bananas are perfect complements for Joseph.

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