Robert Hope received a welcome surprise in this management science class

Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person dene 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 nal 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: 0 ' 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 nal 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 nal exam grades may not collectively constitute more than 50% of the grade. Formulate an LP model for Robert to maximize his numerical grade. A. Formulate an LP model for this product mix problem. B. Solve using Excel Solver