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 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 of COVID cases is dx 10 tents and dt than if 20 tents are built, the average number of COVID increasing at x :1 tent per day, given 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.

The City Council proposed to utilize a 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 of COVID cases is increasing at x = 10 tents and dx/dt = 1 tent per day, given than 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. Verify that values are extrema using either the first derivative test or second derivative test. As an engineer, cite other instances aside from the situations given above where…

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…

6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed space needs to be a rectangle with an area of 4000 square meters. One side of the enclosed space will be next to the house, so they only need fencing along three sides of the rectangle. How much fencing will they need to buy to minimize the perimeter of the enclosed space?