Question: A beauty salon offers manicures and pedicures. A manicure requires 20 minutes for preparation, 5 minutes for lacquering, and 15 minutes for drying. A pedicure

A beauty salon offers manicures and pedicures. A manicure requires 20 minutes for preparation, 5 minutes for lacquering, and 15 minutes for drying. A pedicure requires 30 minutes for preparation, 5 minutes for lacquering, and 20 minutes for drying.
(a) Construct a matrix T representing the time required for preparation, lacquering, and drying for manicures and pedicures.
(b) Suppose that the salon will be giving manicures and pedicures to a large wedding party. If 15 members of the wedding party want manicures and 9 want pedicures, find a matrix S so that either ST or TS gives the total amount of time required for each of the three steps.
(c) What is the total time required for drying?

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