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: 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 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 Situation
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: 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 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 Situation
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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As an Engineer, cite other instances aside from the situations given in the picture where optimization (one maximization and one minimization) can be applied.
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