To stimulate interest and provide an atmosphere for intellectual discussion, the finance faculty in a management school

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To stimulate interest and provide an atmosphere for intellectual discussion, the finance faculty in a management school decides to hold special seminars on four contemporary topics-leasing, portfolio management, private mutual funds, swaps and options. Such seminars would be held once per week in the afternoons. However, scheduling these seminars (one for each topic, and not more than one seminar per afternoon) has to be done carefully so that the number of students unable to attend is kept to a minimum.

A careful study indicates that the number of students who cannot attend a particular seminar on a specific day is as follows:

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Find an optimal schedule of the seminars. Also find out the total number of students who will be missing at least one seminar.

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