Find the decomposition 
of 
with respect to 
.
Definitions:
Apples
Edible fruits from the apple tree, known for their sweet taste and crunchy texture, and used in a variety of culinary dishes.
Bananas
A type of fruit that is elongated, curved, and covered with a peel, typically yellow when ripe, and consumed as a sweet source of energy.
Perfect Substitute
Goods that can be used in place of one another with no loss of utility for the consumer, indicating a one-to-one substitutability.
Utility Function
A mathematical representation that assigns a level of utility or satisfaction to different bundles of goods, allowing preferences to be compared quantitatively.
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