Order ID:89JHGSJE83839 | Style:APA/MLA/Harvard/Chicago | Pages:5-10 |
Instructions:
Formulating an LP Problem to Determine the Highest Profit
Question Description
Saba, Inc. manufactures Titanium and Carbon frame racquets. In the coming production period, Saba needs to decide how many of each type of racquets should be produced to maximize profit.
Each racquet goes through two production processes. Each Titanium frame requires 21 minutes of process I time and 15 minutes of process II time.
Each Carbon frame requires 15 minutes of process I time and 20 minutes of process II time. In the upcoming production period, at least 27 hours are available in process I and no more than 40 hours are available in process II. In the upcoming period the demand for the Titanium frames is estimated to be at least 60 units. Due to a decline in the demand for Carbon frames, the company does not want to produce more than 45 Carbon frame racquets.
Furthermore, management has decided that the production of the number of Carbon frames should be at least 20% of total production. Each Titanium racquet costs $88 to produce and sells for $200. Each Carbon frame racquet costs $70 to produce and sells for $170.
X1 = Number of Titanium frame racquets to produce |
X2 = Number of Carbon frame racquets to produce |
b. Graph the constraints and identify the region of feasible solutions. Using the graphical procedure, | |||||||
solve the problem. How many of each type of racquets should be produced and what is the | |||||||
maximum profit? |
d. If the production costs of Titanium frame racquets were increased to $125 per unit, what would be | |
the optimum solution? Is there more than one optimum solution to the new problem? | |
If yes, give at least two optimum solutions and their respective slacks and or surpluses. |
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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Formulating an LP Problem to Determine the Highest Profit |
Formulating an LP Problem to Determine the Highest Profit