Suppose you are very picky about your outdoor BBQ experiences --- and you need exactly 1 cup of lighter fluid for each bag of charcoal you use. If you have either leftover charcoal or leftover lighter fluid, you simply discard it.
a. Letting cups of lighter fluid be denoted as 
and bags of charcoal as 
, give the simplest possible utility function that captures your tastes.
b. Suppose that your favorite charcoal has just gotten better because the producer has infused the charcoal with half a cup of lighter fluid per bag. How does your answer to (a) change?
What will be an ideal response?
b.
or 
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