4. 8 points [Research question] You can work on this with other students, but your answer should be your own perspective, and your own thoughts on the problem. We have seen two standard forms: Standard Inequality Form (SIF): maxs.t.cxAxbx0x0StandardEqualityForm(SEF):maxxs.t.Ax=b These two LP problems are equivalent, however one has n variables, and the other has n+m (decision + slack) variables. (a) For which values of n1 and m1 can you plot both problems (SIF and SEF)? (b) 7 points For each combination of n and m in the previous question, pick an example LP problem and plot the SIF and the SEF problems in their respective dimensions. Then, do as if you had to write a research paper on it: explain your plots, make links between them, analyze what you discovered, you can also make hypotheses, test them, try to establish general rules, etc. Basically, if you feel like you understood more things after doing these plots, write as if you wanted to explain what you understood to others. 4. 8 points [Research question] You can work on this with other students, but your answer should be your own perspective, and your own thoughts on the problem. We have seen two standard forms: Standard Inequality Form (SIF): maxs.t.cxAxbx0x0StandardEqualityForm(SEF):maxxs.t.Ax=b These two LP problems are equivalent, however one has n variables, and the other has n+m (decision + slack) variables. (a) For which values of n1 and m1 can you plot both problems (SIF and SEF)? (b) 7 points For each combination of n and m in the previous question, pick an example LP problem and plot the SIF and the SEF problems in their respective dimensions. Then, do as if you had to write a research paper on it: explain your plots, make links between them, analyze what you discovered, you can also make hypotheses, test them, try to establish general rules, etc. Basically, if you feel like you understood more things after doing these plots, write as if you wanted to explain what you understood to others