The City Council proposed to utilize a 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 eld 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 o on three sides not adjacent to the highway. 2. The rate at which the total average of COVID cases is increasing at x = 10 tents and dx/dt = 1 tent per day, given than if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
The City Council proposed to utilize a 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 eld 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 o on three sides not adjacent to the
highway.
2. The rate at which the total average of COVID cases is
increasing at x = 10 tents and dx/dt = 1 tent per day, given
than if 30 tents are built, the average number of COVID
cases per tent will be 7 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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