Solve the following linear programming problem using excel solver. Note: Consider it as Simplex LP
Maximize 10x₁+6x₂+3x₃
​ Subject to 1x₁ +1x₂ +2x₃ ≤25
2x₁ +1x₂ +4x₃ ≤40
1x₁+2x₂ +3x₃ ≤40
x₁ ,x₂ ,x₃ ≥0​
Determine the range of optimality for each coefficient in the objective function. Hint: use sensitivity report.