dx 2. the rate at which the total average number of COVID cases is increasing at x = 10 tents and = 1 tent per day, dt given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 1P
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Please answer the second question with an illustration, detailed solution, and conclusion. 

The City Council proposed to utilize government-owned land with an area of 15,000 square meters. One-third of the
area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As
the city engineer, you were tasked to determine the following:
1. the dimensions of the land planted with mango trees 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 rate at which the total average number of COVID cases is increasing at x = 10 tents and
dt
dx
= 1 tent per day,
given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average
number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
Transcribed Image Text:The City Council proposed to utilize government-owned land with an area of 15,000 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: 1. the dimensions of the land planted with mango trees 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 rate at which the total average number of COVID cases is increasing at x = 10 tents and dt dx = 1 tent per day, given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
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