The City Council proposed to utilize a government-owned land with an area of 9,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: the number of mango trees that leads to a maximum yield given that if 60 trees are planted, the average yield per tree will be 400 kilos while the average yield will decrease by 4 kilos per tree for each additional tree on the same area due to overcrowding.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter1: Equations, Inequalities, And Mathematical Modeling
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The City Council proposed to utilize a government-owned land with an area of 9,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following:

  1. the number of mango trees that leads to a maximum yield given that if 60 trees are planted, the average yield per tree will be 400 kilos while the average yield will decrease by 4 kilos per tree for each additional tree on the same area due to overcrowding.
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