Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: Korey is a business student at State U. She has just completed a course in decision models, which had a midterm exam, a final exam, individual assignments, and class participation. She earned an 86% on the midterm, 94% on the final, 93% on the individual assignments, and 85% on participation. The benevolent instructor is allowing his students to determine their own weights for each of the four grade components—of course, with some restrictions: The participation weight can be no more than 15%. The midterm weight must be at least twice as much as the individual assignment weight. The final exam weight must be at least three times as much as the individual assignment weight. The weights of the four components must be at least 10%. The weights must sum to 1.0 and be nonnegative.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Describe the bounds, limitations, requirements, proportional relationships, and balance constraints:

Korey is a business student at State U. She has just completed a course in decision models, which had a midterm exam, a final exam, individual assignments, and class participation. She earned an 86% on the midterm, 94% on the final, 93% on the individual assignments, and 85% on participation. The benevolent instructor is allowing his students to determine their own weights for each of the four grade components—of course, with some restrictions:

  • The participation weight can be no more than 15%.

  • The midterm weight must be at least twice as much as the individual assignment weight.

  • The final exam weight must be at least three times as much as the individual assignment weight.

  • The weights of the four components must be at least 10%.

  • The weights must sum to 1.0 and be nonnegative.

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