Entrepreneur Plans for A One-Machine Horizon
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Entrepreneur Plans for A One-Machine Horizon
Entrepreneur plans for a one-machine horizon. He purchases the machine for 500 dollars. Its scrap value at time T is S(T) = 500 – 40T. The rate of interest is 0.05. The machine yields a quasi-rent flow at the rate Tzu = 85 – 4t dollars per year. When should the entrepreneur retire this machine?
An entrepreneur is engaged in tree growing. He purchases a seedling for 4 dollars, incurs a cultivation cost flow at a rate of G(t) = 0.4t dollars per year during the life of a tree, and sells the tree at t = T for R(T) = 4 + 8T – T2 dollars. The market rate of interest is 0.20. Determine an optimal length for his cultivation period, T. Apply the appropriate second-order condition to verify that your solution is a maximum.
Let two opsonists have production functions q1 = 13x − 0.2x²1 and q2 = 12×2 − 0.1x²2 where x1, x2 are the input levels employed by the opsonists. Assume that the input supply function is r = 2 + 0.1(x1 + x2) where r is the supply price of the input, and that q1 and q2 are sold in competitive markets for prices p1 = 2 and p2 = 3.
Find the input reaction functions.
Determine the Cournot equilibrium values for x1, x2, and q1, q2, π1, π2.
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Excellent Quality
95-100%
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.
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.
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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Entrepreneur Plans for A One-Machine Horizon