The City Council proposed to utilize a government-owned land with an area of 21,600 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 dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. 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.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
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The City Council proposed to
utilize a government-owned land
with an area of 21,600 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 dimensions of the picnic
area with minimum cost of fencing
given that area is to be rectangular
and to be fenced off on three
sides not adjacent to the highway.
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.
Transcribed Image Text:The City Council proposed to utilize a government-owned land with an area of 21,600 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 dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. 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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