Imagine that in the Summer of $2024,$ you have the option to either work part$-$time during your summer break and earn $$10$ per hour or take an unpaid internship related to your field of study with your professor. The internship will enhance your skills and improve your chances of landing a higher$-$paying job in the future. If you decide to take the unpaid internship, it will require $20$ hours per week for $10$ weeks. During this time, you could have worked part$-$time and earned $$10$ per hour. The expected value of the internship in monetary terms is $$3500.$ A$.$ Calculate the opportunity cost of choosing the unpaid internship in monetary terms $(2$ points$).$ B$.$ Based on a purely economic cost$-$benefit analysis, would you choose the internship or take up the part$-$time job? Explain why $(2$ points$).$