the number of mango trees that leads to a maximum yield

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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The City Council proposed to utilize a government-owned land with an area of 15,000 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:

2. the number of mango trees that leads to a maximum yield given that if 50 trees are planted, the average yield per tree will be 400 kilos while the average yield will decrease by 2 kilos per tree for each additional tree on the same area due to overcrowding.

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