Could u write a new problem with solving steps. It is not about the drug company (A & B) posted before in the Chegg. Thank you

Problem 4: (10 points) You've been asked to develop a problem that can be used to explain some of the concepts you know to someone who has never heard of linear programming. a) Formulate a linear programming problem such that the following conditions are met (you may not use a problem that has appeared on this assignment or on the lecture slides). Make sure to include all elements of formulation that we have discussed (i.e., defining variables, objective function, constraints, non-negatives). i. LP problem with two decision variables (using X and Y as your variables) ii. When you maximize the objective function, there is a single unique solution at the point (X=6, Y = 8). iii. When you minimize the objective function, there are multiple optimal solutions iv. There are three constraints (not counting non-negatives). b) Graph your formulation and label the objective function and constraints accordingly. c) Explain why there would be multiple optimal solutions when minimized (max. 2 sentences)