You need to determine the dimensions of a picnic area with the minimum cost of fencing, the number of mango trees that leads to a maximum yield per tree, and dimension of an enclosure with the maximum volume. Goal You are a city engineer. Your report will be presented to the City Council. 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 70 trees are planted, the average yield per tree will be 300 kilos while the average yield will decrease by 3 kilos per tree for each additional tree on the same area due to overcrowding. Working in groups of 3-4 members, you need to prepare the material using long bond size (8.5" x 13") papers in discussing each concern. Verify that the value/s is/are extremum/extrema using either first/second derivative test. Role Audience Situation Product/ Performance
You need to determine the dimensions of a picnic area with the minimum cost of fencing, the number of mango trees that leads to a maximum yield per tree, and dimension of an enclosure with the maximum volume. Goal You are a city engineer. Your report will be presented to the City Council. 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 70 trees are planted, the average yield per tree will be 300 kilos while the average yield will decrease by 3 kilos per tree for each additional tree on the same area due to overcrowding. Working in groups of 3-4 members, you need to prepare the material using long bond size (8.5" x 13") papers in discussing each concern. Verify that the value/s is/are extremum/extrema using either first/second derivative test. Role Audience Situation Product/ Performance
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Transcribed Image Text:You need to determine the dimensions of a picnic area with the minimum cost of
fencing, the number of mango trees that leads to a maximum yield per tree, and
dimension of an enclosure with the maximum volume.
Goal
You are a city engineer.
Your report will be presented to the City Council.
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 70 trees are
planted, the average yield per tree will be 300 kilos while the average yield will
decrease by 3 kilos per tree for each additional tree on the same area due to
overcrowding.
Working in groups of 3-4 members, you need to prepare the material using long bond
size (8.5" x 13") papers in discussing each concern. Verify that the valuels is/are
extremum/extrema using either first/second derivative test.
Role
Audience
Situation
Product/
Performance
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