In the Malthusian model, population grows exponentially while food production grows linearly. For the Rarotonga tribe, food production is enough to support 1,167 people at the subsistence level, and each year they are able to expand food production to accommodate another 46 people. Their population is only at 858 people, but it grows by 10% each year. Assuming each member of the tribe is living at the subsistence level, what will the population of Rarotonga be after 63 years?
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- 3. A village has six residents, each of whom has accumulated savings of $100. Each villager can use this money either to buy a government bond that pays 15% per year. Or they can buy a llama, send it onto the commons to graze and then sell it after one year. The price the villager gets for selling the llama depends on quality of fleece it grows. The quality of fleece depends on how many llamas are grazing. At the end of the year the villager will have $115 if they buy the bond or $109-$122 if they buy the llama depending on how many llamas are purchased Number of Llamas 1 2 3 4 5 6 Price per Llama 122 118 116 114 112 109 a. If each villager decides individually how to invest, how many llamas will be sent onto the commons and what will be the net village income? b. What is the socially optimal number of llamas for this village? c. The village committee votes to auction the right to graze the llamas to the highest bidder. How much will the grazing right sell for? What will be the net…a. Set up a function that shows how much money Thomas will receive each year. b. How much money will Thomas have in his bank account in 2012? ) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of t animals in the habitat you are studying. a. What percentage of species will be left each year? b. Write a function that models the change in animal population. c. Estimate the number of years until the population first drops below 15 animals. 4) Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 35% per year. a. What percentage is the car worth each year it depreciates from the previous year? b. Find the depreciated value of the car after 6 years. 5) Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the function v(x)=30,000(0.78)* , where x is the number of years since he made his investment. Which statemen describes the rate of change of the…Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs, average $12,500 per year. On average, tuition and other costs have historically increased at a rate of 4% per year. Assuming that costs continue to increase an average of 4% per year, how much is the tuition and other costs for one year for this student in 18 years when she enters college?
- Consider a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the center is $6,000 per year per acre, the rent at the edge of the city is $10,000 per year per acre, and the density is 2 persons per acre. Supposing that the annual transportation cost per person per mile of distance from the CBD is $200 (round-trip), and if the population increases by 10% (the size of the city and transportation cost do not change), what will be the new rent at the center of the city per year per acre?A dairy owner is deciding whether or not to invest in new milk machines. The cost of the machines is $100,000. If she purchases the machines, the dairy will earn $30,000 in the first year, $50,000 in the second year, and $60,000 in year 3. What is the NPV of the investment? (Rounded to the nearest whole dollar)Consider a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the center is $6,000 per year per acre, the rent at the edge of the city is $10,000 per year per acre, and the density is 2 persons per acre. Supposing that the annual transportation cost per person per mile of distance from the CBD is $200 (round- trip), and if the population increases by 10% (the size of the city and transportation cost do not change, and there are still 2 houses per acre), what will be the new rent at the center of the city per year per acre? Group of answer choices $16,500 $16,300 $16,600 $17,000
- Consider a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the center is $6,000 per year per acre, the rent at the edge of the city is $10,000 per year per acre, and the density is 2 persons per acre. Supposing that the annual transportation cost per person per mile of distance from the CBD is $200 (round-trip), and if the population increases by 10% (the size of the city and transportation cost do not change, and there are still 2 houses per acre), what will be the new rent at the center of the city per year per acre? Group of answer choices $16,300 $17,000 $16,600 $16,500The owner of a small local flea market rents tables to vendors every Sunday. His only expense is the purchase of the building in which the flea market operates at a cost of $450,000. The owner expects to rent about 20 tables per week (1000 per year), and wishes to receive a 12% annual return on his investment in the building. What gross margin (in dollars) should the owner use?Given a project with the following characteristics, answer the following questions: You are the project manager of a project to plant trees on the sidewalks of the local community. Your project is scheduled to last for 6 months. You are to plant (thirty) 30 trees each month. Each tree is planned to cost R1 000. It is now the last day of month 3. You have planted 80 trees and your CPI is 1.11. 1. What is the actual cost of the project right now? 2. What is the current schedule performance index (SPI) of the project? 3. How is the project currently performing in terms of budget and schedule? Motivate your answer. 4. What is the percentage of the project that is currently complete. What should be reported?
- Consider a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the center is $6,000 per year per acre, the rent at the edge of the city is $10,000 per year per acre, and the density is 3 persons per acre. Supposing that the annual transportation cost per person per mile of distance from the CBD is $200 (round-trip), and if the population increases by 10% (density and transportation cost do not change), what will be the new rent at the center of the city per year per acre? $16,300 $15,250 $16,600 $15,000Bob plans to operate a poultry farm. He currently is deciding thecapacity of this farm. Its size could either be for 100, 150 or 200 chickens. In terms of market forecasts, demand may be low, medium or high. The expected monthly income matrix for the capacities and market forecasts is as follows:A group of farmers in Inverness is considering building an irrigation system from a water supply in some nearby mountains. They want to build a concrete reservoir with a steel pipe system. The first cost would be $320,000 with (current) annual maintenance costs of $2100. They expect the irrigation system will bring them $34,100 per year in additional (current) revenues due to better crop production. Their real dollar MARR is 2 percent, and they anticipate inflation to be 3 percent per year. Assume the reservoir will have a 20-year life. a. Using the current cash flows, find the current IRR on this project. Use linear interpolation with x, = 7% and x, = 8% to find your answer. The current IRR of this project is percent. (Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.)