Question: 2. A college would like to assign its math professors for the math classes offered in Fall of 2021. Based on the relative experience of

2. A college would like to assign its math professors for the math classes offered in Fall of 2021. Based on the relative experience of the professors, each class will require a different number of prep hours per week to teach. The college wishes to minimize this prep time for its professors. The possible assignments and estimated prep times in hours are as follows: 11 Professor 1 2 3 AWN NNN 3 2 3 5 4 4 3 3 5 3 2 ANW Class 6 2 4 2 7 4 2 3 8 5 3 4 9 3 5 3 10 4 3 5 N 12 3 4 3 AWN Professor 1 has requested to teach 4 classes, Professor 2 has requested to teach 3, and Professor 3 has requested to teach 5 classes. Develop a network representation of this problem. Formulate a linear program for the problem. Solve the problem and determine the assignments for Fall. What is the total time required

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