Consider the same two goods. Let qa denote quantities of apples and qr quan- tities of tomatoes. Prove that the utility function u(qa, qt) = 9A + 9r does not represent the perfect complement preference where bundle (9A, 9r) is preferred to bundle (da, qr) if min{qa, qr} > min{9'4, 9r}. To do this, you need to give two bundles which the preference compare one way, but the utility function ranks the opposite way. Consider the same two goods. Let qa denote quantities of apples and qr quan- tities of tomatoes. Prove that the utility function u(qa, qt) = 9A + 9r does not represent the perfect complement preference where bundle (9A, 9r) is preferred to bundle (da, qr) if min{qa, qr} > min{9'4, 9r}. To do this, you need to give two bundles which the preference compare one way, but the utility function ranks the opposite way