Question

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An apple grower finds that if she plants 40 trees per acre, each tree will yield 150 bushels of apples. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? 5 Xtrees per acre Need Help? Submit Answer

Answer 1

Ang a Revenue (40+) (150 - 3*) R(x) = 6000-1202 +150X 2 3 n Maninum Occurs when R'1x)=0 s) R'(x) = 1.20 +150 -6.x = 0 30-60 go 3.699,30 n = 5 So she should Plant Hota Hot 5 OH = 145 trees perdere 2 ) -0.13 Р D(P) = 7.1947 -0.13-1 o'le) = 7.9471-0.13) é? -1013 1.033.11P d Ble) dP elasticity function Elp) = ? DIP) * (-1.03311) & ? -1013 7.947 20:13 1.03311 |-0.13 7.947

3) DIP). -0.02P 5ooo e Ele) a ole) = P D'LP) D(P) -0.02p 5000 (-0.02) é -0.020 e Elp) P = .* 5000 (-0.02) 0.02P 5ooo e Elp) il .0.02 P