Formulate an LP model for Robert

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Question - Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations:

Homework can account for up to 25% of the grade, but must be at least 5% of the grade;

The project can account for up to 25% of the grade, but must be at least 5% of the grade;

The mid-term and final must each account for between 10% and 40% of the grade but cannot account for more than 70% of the grade when the percentages are combined; and

The project and final exam grades may not collectively constitute more than 50% of the grade

Required - Formulate an LP model for Robert to maximize his numerical grade.

Reference no: EM132839808

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