Lisa, a $13$ year$-$old, is thinking about opening up a lemonade stand this Saturday. If she does, she is planning on going to Billy Bobs Lemonade Stand rentals and renting everything she needs for $$80($table$,$ sign, canopy, pitcher, cooler, empty cigar box, etc$).$ Billy Bobs even supplies you with cups and lemonade concentrate you need. She expects to make $$200$ in revenue for $10$ hours of work. If she doesnt open the lemonade stand she will babysit for the Smith family for the same amount of time at a rate $$15$ an hour.$($Make sure to put in $ signs when answering$)$a$.$ What is the total benefit Lisa expects from opening up the lemonade stand? b$.$ What is the total cost $($opportunity cost$)$ of opening up the Lemonade stand? c$.$ Accounting question: Can she open up the stand? d$.$ Economic question: Should she open the stand? e$.$ How much profit does she expect from the lemonade stand $($use a $"+"$ or $"-"$ sign$)?$