I want a push with this problem. Find the best solution to represent the linear model for this problem. Can you please help with how the change in hours required for the job completion will change the solution. If you can point me in the right direction it will be greatly appreciated!!
Business analysis:
A market research firm's three clients each requested that the firm conduct a sample survey. Four available statisticians can be assigned to these three projects; however, all four statisticians are busy, and therefore each can handle only one client. The following data show the number of hours required for each statistician to complete each job; the differences 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. Formulate and solve a linear programming model for this problem
b. Suppose that the time statistician 4 needs to complete the job for client A is increased from 160 to 165 hours. What effect will this change have on the solution?
c. Suppose that the time statistician 4 needs to complete job for client A is decreased to 140 hours. What effect will this change have on the solution?
d. Suppose that the time statistician 3 needs to complete the job for client B is increased to 250 hours. What effect will this change have on the solution?