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(3) A market research firm has three clients who have each requested that the firm conduct a sample survey. Four available statisticians can be

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(3) A market research firm has three clients who have each requested that the firm conduct a sample survey. Four available statisticians can be assigned to these three projects; however, all four statisti- cians are busy, and therefore each can handle only one of the clients. The following data show the number of hours requires for each statistician to complete each job; the difference in time are based on experience and ability of the statisticians. Client Statistician A B C 1 150 210 270 2 170 230 220 3 180 230 225 4 160 240 230 (a) Develop a network model of this problem. (b) Define the decision variables neatly. (c) Formulate a linear programming model of the problem.

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