The City Council proposed to utilize government-owned land with an area of 9,600 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: 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.Illustration and Representation of VariablesDetailed SolutionConclusionAs an Engineer, cite other instances aside from the situations given above where optimization (one maximization and one minimization) can be applied. the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.Illustration and Representation of VariablesDetailed SolutionConclusion The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third ofthe area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall bebuilt. 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 berectangular and to be fenced off on three sides not adjacent to the highway.A. Illustration and Representation of VariablesB. Detailed SolutionC. ConclusionD. As an Engineer, cite other instances aside from the situations given above where optimization (onemaximization and one minimization) can be applied.2. the rate at which the total average number of COVID cases is increasing at x = 10 tents anddx= 1 tent per day, given that if 20 tents are built, the average number of COVID cases per tent will be 5dtcases while the average number of cases will increase by 2 per tent for each additional tent in the same areadue to overcrowding.E. Illustration and Representation of VariablesF. Detailed SolutionG. Conclusion

Answered: The City Council proposed to utilize…

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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Question

The City Council proposed to utilize government-owned land with an area of 9,600 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:

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.

Illustration and Representation of Variables
Detailed Solution
Conclusion
As an Engineer, cite other instances aside from the situations given above where optimization (one maximization and one minimization) can be applied.

the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.

Illustration and Representation of Variables
Detailed Solution
Conclusion

The City Council proposed to utilize government-owned land with an area of 9,600 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.
A. Illustration and Representation of Variables
B. Detailed Solution
C. Conclusion
D. As an Engineer, cite other instances aside from the situations given above where optimization (one
maximization and one minimization) can be applied.
2. the rate at which the total average number of COVID cases is increasing at x = 10 tents and
dx
= 1 tent per day, given that if 20 tents are built, the average number of COVID cases per tent will be 5
dt
cases while the average number of cases will increase by 2 per tent for each additional tent in the same area
due to overcrowding.
E. Illustration and Representation of Variables
F. Detailed Solution
G. Conclusion

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