QUESTION 1:Due to the demands of high-speed internet connectivity at Ipine Island, a telecommunicationcompany Waiezuddin Laju Sdn. Bhd. wishes to run fibre optic cable from point A on theshoreline as shown in FIGURE 1 to an installation at point B on the island. The island is Xkm from the shore. The costs are RM 700,000 per km to run the cable on land and RM900,000 per km underwater respectively. Assume that the cable starts at point A and runsalong the shoreline, then angles at D and runs underwater toB (Ipine Island). As a Computing Scientist at the Waiezuddin Laju Sdn. Bhd., you are giventhe task to find the point D at which the line begins to angle to yield the minimum totalcost. How much is the cost?The following assumptions can be made: 11 ≤ x ≤ 12, and 7 ≤ y ≤ 8.B (Ipine Island)Y kmсFIGUREX kmDShorelineA

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Answered: QUESTION 1: Due to the demands of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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…
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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…

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