A market research firm has three clients who have each requested that the firm conduct a sample survey. Four statisticians are available to assign to these three projects: However, all four statisticians are busy, and therefore each can handle at most one of the clients. The following data show the number of hours, it would take for each statistician to complete each job, the differences in time are due to differences in experience and ability among the statisticians. Statistician Client A В 1 150 210 270 2 170 230 220 180 230 225 4 160 240 230 a) Formulate a linear programming (LP) model for this problem. 3.

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A market research firm has three clients who have each requested that the firm conduct a
sample survey. Four statisticians are available to assign to these three projects:
However, all four statisticians are busy, and therefore each can handle at most one of the
clients.
The following data show the number of hours, it would take for each statistician to complete
each job, the differences in time are due to differences in experience and ability among the
statisticians.
Statistician
Client
A
В
1
150
210
270
170
230
220
180
230
225
4
160
240
230
a) Formulate a linear programming (LP) model for this problem.
2.
3.
Transcribed Image Text:A market research firm has three clients who have each requested that the firm conduct a sample survey. Four statisticians are available to assign to these three projects: However, all four statisticians are busy, and therefore each can handle at most one of the clients. The following data show the number of hours, it would take for each statistician to complete each job, the differences in time are due to differences in experience and ability among the statisticians. Statistician Client A В 1 150 210 270 170 230 220 180 230 225 4 160 240 230 a) Formulate a linear programming (LP) model for this problem. 2. 3.
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