In: Advanced Math
1) A farmer finds that if she plants 60 trees per acre, each tree will yield 40 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest?
2)A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $10 the average attendence has been 19000. When the price dropped to $7, the average attendence rose to 23000. Assume that attendence is linearly related to ticket price. What ticket price would maximize revenue?