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Agriculture and Forestry Statistics Questions Essay Paper
Settlers are beginning to land on the west coast of Canada from across the Pacific Ocean. They arrive to an empty landscape that is only suitable for agriculture or forestry. Land that is closer to the coast is flatter and warmer, and thus, is better situated for agriculture. In contrast, land located further away from the coast has a more moderate climate and is more conducive for forestry.
Let x denote the number of miles a plot of land is from the coast.
The coastal mountains of Canada are rugged; thus, only 15 miles of land can be used for agriculture or forestry.
For simplicity, let’s assume that plots of land are divided into parcels that are 1 mile in length (i.e., x = 1, 2, 3, …, 15). Let r = 0.05 be society’s annual discount rate. Note that land devoted to agriculture permits a single harvest per year; thus, land devoted agriculture should be discounted using discrete time.
Trees, on the other hand, grow continuously; thus, land devoted to forestry should be discounted using continuous time. Initially, all plots of land are immediately ready for agriculture; land devoted to forestry, in contrast, must incur a fixed cost of planting trees.
Part A: The agriculturalist’s problem [5 points] Consider the agriculturalist’s problem of allocating work-ers to a plot of land.
Suppose that land devoted to agriculture has a production function of f(N) = (a − x)Nt − (b/2) N^2 [PLEASE LOOK AT THE IMAGE FOR THE CORRECT EQUATION], where a = 20, b = 2, and Nt is the number of workers in year t.
Suppose agricultural output receives a price of pa = 1 in a perfectly competitive market, which is assumed to be constant over time.
For simplicity, suppose that the supply of workers is perfectly elastic and the per-worker wage is equal to zero.
[THE NEXT PARTS ARE IN THE IMAGES ATTACHED. Please look at the images for the actual questions as some mathematical notations are hard to type out. Thank you.]
Agriculture and Forestry Statistics Questions Essay Paper
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Excellent Quality 95-100%
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Introduction
45-41 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. |
Literature Support 91-84 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. |
Methodology 58-53 points Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met. |
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Average Score 50-85% |
40-38 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided. |
83-76 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration. |
52-49 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met. |
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Poor Quality 0-45% |
37-1 points The background and/or significance are missing. No search history information is provided. |
75-1 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration. |
48-1 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met |
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Agriculture and Forestry Statistics Questions Essay Paper |