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Volcano Potato Company (VPC) Case Study Paper
Question Description
Volcano Potato Company (VPC) grows potatoes, processes them, and then sells three potato products: fresh potatoes, frozen french fried potatoes, and frozen hash ball potatoes (shredded and then reconstituted balls of potatoes with a soft consistency). During the next two months, VPC expects to harvest 8 million pounds of potatoes.
VPC would like to determine how much of each product should be made from the potatoes. Potatoes are graded according to quality on a 0-5 scale. VPC divides its potatoes into three grades: A, B, and C. Grade A potatoes have an average quality rating of 4.5; grade B potatoes have an average quality rating of 2.5, and grade C potatoes have a quality rating below 1 and are not used for any products. From historical data and estimates based on the current growing season’s weather, VPC believes the distribution of potato quality will be:
A=50
B=40
C=10
Percentage of harvest
Fresh potatoes earn a profit of $0.40 per pound after processing costs, but only grade A potatoes can be sold as fresh potatoes. Frozen French-fried potatoes earn $0.32 per pound after processing costs, but the potatoes used must have an average quality rating of at least 3.5. Hash balls earn $0.25 per pound after processing costs, but the potatoes used must have an average quality rating of at least 3.0.
Assume that these ratings are linear in the sense that the quality rating of a mixture equals the weighted average of the inputs. VPC believes it can sell as much French fried and hash ball potatoes as it can make, but it believes the total demand for its fresh potatoes during the next two months is 2.5 million pounds
(a) Formulate a linear programming model to determine the best use for the potatoes so as to maximize VPC’s profit.
(b) Solve the problem using a computer and explain the answer in words
(c)Suppose VPC could buy additional grade A potatoes at $0.35 per pound; how much should it buy? Explain.
RUBRIC |
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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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Volcano Potato Company (VPC) Case Study Paper |
Volcano Potato Company (VPC) Case Study Paper