Use the Simplex method to find the optimal solution to the problem below. Maximize P= 4x1+ 3x2+ x3 Subject to x1+ 2x2–x3≤ 53 x1+ 2x2+ 2x3≤ 25 x1, x2, x3≥ 0 You may use your calculator if you like....

Use the Simplex method to find the optimal solution to the problem below.

Maximize P= 4x1+ 3x2+ x3

Subject to

x1+ 2x2–x3≤ 53

x1+ 2x2+ 2x3≤ 25

x1, x2, x3≥ 0

You may use your calculator if you like. Please show me at least the following work:-the initial simplex matrix-the final solution matrix-the optimal solution (example: Max P= 11 at x1= 2, x2= 1, x3= 0)