Question: Objective Function Max 5X + 3Y Constraints 2X + 3Y < 30 and 2X + 5Y < 40 Find the optimal solution for the linear

Objective Function Max 5X + 3Y

Constraints 2X + 3Y < 30 and 2X + 5Y < 40

  1. Find the optimal solution for the linear programming problem above, showing all the details of your work, using the graphing method.
  2. Show and label the feasible region.
  3. How many extreme points are on your graph?
  4. Graph the objective function.
  5. Identify your binding constraints.
  6. Identify the values of the optimal solution.
  7. Calculate the objective function value.
  8. Calculate the slack or surplus for each constraint (even if it has none).

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