Answer: Rachel should produce pie and Joey should produce bread.
Explanation:
Rachel can make 1 loaf of bread in 2 hours and 1 pie in 1 hour. Therefore, Rachel can take less time to produce 1 pie as compared to 1 loaf of bread, as a result she should produce pie.
Joey can make 1 loaf of bread in 4 hours and 1 pie in 4 hours. Therefore, Joey can take same time for producing either pie or bread. But he has only one option to produce bread.
So, Rachel is specialized in producing pie and Joey is specialized in producing bread in order to maximize their combined output.