After years of research, you develop the world$$s tastiest and most nutritious barbecue sauce. You

keep your recipe secret, giving you a monopoly on your sauce. Your costs are given by

MC $=$ AC $=2$

$($i$.$e$.,$ fixed costs are $0).$ Demand is given by

P $=10$ Q

$1.$ What is your profit$-$maximizing price? How much barbecue sauce will you sell? $($Show

your work or explain how you arrived at your answer$)$

$2.$ Suppose that if you post your recipe online, anyone who wishes can make your sauce at

costs identical to yours. What is the minimum payment you would be willing to accept to

post your recipe online? How much would your sharing your secret recipe be worth to

consumers? $($Show your work or explain how you arrived at your answer$)$