Jack could increase his utility by buying more pencils and fewer pens.
Jack could increase his utility by buying more pencils and more pens.
Jack could increase his utility by buying fewer pencils and fewer pens.
Jack is at a corner solution and is maximizing his utility.
If a consumer must spend her entire income on some combination of two commodities and chooses to spend it all on just one of the commodities then:
the other commodity is an economic bad.
the other commodity must have zero marginal utility.
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