How do you do this? I do not understand what exactly they are asking us to write. Can you help me with this please and give me some ideas?
Linear Programming Model
Frank Hurley is a farmer with 250 acres on which he wishes to plant wheat and corn to maximize his expected return for the season. For crop rotation purposes he must plant at least 50 acres of each crop. He can participate in a federal program that will require him to produce at least as much wheat as corn. Under this program, he is guaranteed to earn $150 per acre of wheat planted and $200 per acre of corn planted. Alternatively, he can opt not to participate in the program, in which case he projects he would make only $125 per acre of wheat planted and $184 per acre of corn planted. What would you recommend to Frank?
Based on the output, what key points would you recommend to Frank? In 250 words, sequentially list and explain each activity along with the tools needed to develop your response. (This question is not about the bottom line answer but rather, the solution process, question formulation, data development, output, output explanation, etc.).
This solution provides a detailed, step by step explanation of the given problem.
Linear programming model
I need a push with this problem. What is 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!!
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.
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?