Some Once-lers live in a wonderful land filled with beautiful truffula trees. They each independently chop down the truffula trees to make and sell thneeds. The total value of thneeds sold is f(x) = 150x - 5x², where x is the number of truffula trees chopped down. If it costs 20 dollars to chop down a truffula tree, how many trees will the members of the Once-ler family collectively chop down?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Please note that the answer of 26 is correct for the question. I know that the answer will be 13 if it's social optimal. Bu tplease provided a detailed solution of why it's 26 when it's not social optimal. 

Some Once-lers live in a wonderful land filled with
beautiful truffula trees. They each independently chop.
down the truffula trees to make and sell thneeds. The
total value of thneeds sold is f(x) = 150x - 5x², where
x is the number of truffula trees chopped down. If it
costs 20 dollars to chop down a truffula tree, how
many trees will the members of the Once-ler family
collectively chop down?
O
O
26
13
24
28
14
Transcribed Image Text:Some Once-lers live in a wonderful land filled with beautiful truffula trees. They each independently chop. down the truffula trees to make and sell thneeds. The total value of thneeds sold is f(x) = 150x - 5x², where x is the number of truffula trees chopped down. If it costs 20 dollars to chop down a truffula tree, how many trees will the members of the Once-ler family collectively chop down? O O 26 13 24 28 14
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