Management Science

First Name Time Individual Activity (Module 2: Linear Programming: Graphical Method) Solve the following LP Problem using Graphical Method. (25 points each) An appliance repair shop has 12 electric fan, 12 washing machine, and 30 air conditioning units to be repaired. The store employs two part-time repairmen. Repairman A can repair 3 electric fan, 1 washing machine, and 4 air conditioning units in a week, while Repairman B can repair 1 electric fan, 3 washing machines, and 6 air conditioning units in a week. Repairman A is paid 1'5,000 a week and repairman B is paid P4,200 a week. To minimize cost how many weeks should each of the two repairmen be employed? A. Representation: Let x Let y B. Linear Programming Model: Objective Function Structural Constraints Electric Fan Washing Machine Air Condition Non-Negativity Constraints C. Coordinates of Intercepts (Structural Constraints) Constraints X-intercept y-intercept Electric Fan Washing Machine Air Condition D. Graphical Representation. Show the feasible region and important coordinates of the graph. E. Feasible Solution (if any) Extreme Points Values of the Objective Function Decision: X = V= P= Note: Attached captured picture of graphs using Desmos or Geogebra. Do not change the file format