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 on the same area due to overcrowding.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 60PS
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Kindly answer Problem #2, thank you!

The City Council proposed to utilize a government-owned land with an area of 21,600 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.

2. 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 on the same area due to overcrowding.

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