Analyze the given problems then formulate the appropriate linear programming model for each (either maximization or minimization) to determine the optimal solution. For each problem, provide the following: 1. Table of constraints and parameters 2. Decision variables 3. Objective function and constraint equations 4. Graph of the constraints with label for each corner point (including the table of values) 5. Calculation of the coordinates of the POI/s (point of intersection/s) 6. List of feasible solutions and their corresponding profit/cost 7. Conclusion Problem 1. A farmer has asked you for advice on the best strategy for planting wheat and/or corn on her 500 acre farm. To make it through harvest time, each acre of wheat she plants will require 1 person-day of labor and expenses of $20. Each acre of corn she plants will require 5 person-days of labor and expenses of $30. The farmer has $11,400 and 1480 person-days of labor available, and she expects to make a profit of $90 per acre of wheat and $120 per acre of corn. Problem 2. Sebong Corp. wants to maximize their profit by selling two models of karaoke machine. The profit realized is $300 from each model A and $250 from each model B. However, there are certain limitations that prevent them from producing and selling thousands of sets daily. These limitations are: a) Each unit of model A requires two hours of labor, whereas each set of model B requires only one hour (limited to 40 hours of labor per day) b) Machine processing time for 1unit of model A is 1 hour, and for 1 unit of model B, three hours (limited to 45 hours of machine time per day) c) Inability to sell more than 12 sets of model A each day