Please show all work.
Use the Simplex Method to solve the following linear programming problem. Show all tableaus and make a notation of all row operations performed.
P = 2x1 + 8x2 + 10x3 + x4
subject to the constraints
x1 + 2x2 + x3 + x4 <= 50
3x1 + x2 + 2x3 + x4 <= 100
x1 >=0 x2 >= 0 x3 >= 0 x4 >= 0
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The expert examines the finite mathematics. A complete, neat and step-by-step solution is provided in the attached file.