Question Value: 10The recreation department for St. John's is trying to decide how to develop a piece of land. They have narrowed the choicesdown to tennis courts or a swimming pool. The swimming pool will cost $2,600,000 to construct, and will cost $300,000 per yearto operate, but will bring benefits of $450,000 per year over its 25 year expected life. Tennis courts would cost $225,000 to build,cost $20,000 per year to operate, and bring $60,000 per year in benefits over their 8 year life. Both projects are assumed to havea salvage value of zero. The appropriate MARR is 5%.Part a - Use the BCR to select the appropriate project:The BCR for the pool is (round your answer to 3 decimal points eg. x.xxx):The BCR for the tennis courts is (round your answer to 3 decimal points eg. x.xxx): NumberBased on BCR, which project do you recommend (enter 'P' for pool or 'T' for tennis courts):NumberPart b - Use the BCRM to select the appropriate project:The BCRM for the pool is (round your answer to 3 decimal points eg. x.xxx): NumberThe BCRM for the tennis courts is (round your answer to 3 decimal points eg. x.xxx): NumberBased on the BCRM, which project do you recommend (enter 'P' for pool or 'T' for tennis courts):

Answered: Image /qna-images/answer/ad133b0c-66c5-4a49-affd-7e70fb8b4070.jpg

Answered: The recreation department for St.…

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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You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your mansion has 150 light fittings and 2800 sq ft of uninsulated exterior wall. To impress your friends, you would like to spend as much as possible, but save no more than $800 per year in energy costs (you are proud of your large utility bills). How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? How much will you save in energy costs per year? (If an answer does not exist, enter DNE.)
A large defense contractor is considering making a specialized investment in a facility to make helicopters. The firm currently has a contract with the government, which, over the lifetime of the contract, is worth 100mn euro to the firm. It is considering building a new production plant for these helicopters; doing so will reduce the production costs to the company, increasing the value of the contract from 100mn euro to 200mn euro. The cost of the plant will be 60mn euro. However, there is the possibility that the government will cancel the contract. If that happens, the value of the contract will fall to zero. The problem (from the company’s point of view) is that it will only find out about the cancellation after it completes the new plant. At this point, it appears that the probability that the government will cancel the contract is 0.45. Draw a decision tree reflecting the decisions and find the equilibrium.
The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?
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Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x2 subject to: x₁ + 4x₂ ≤ 12 2x₁ + 6x₂ ≤ 4 X₁ + 2x2 ≤ 4 with x₁ ≥ 0, x₂ ≥ 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when x₁ = x₂ = , S₁ = S2 = and S3 = B. There is no maximum solution to this linear programming problem.

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