Work through the simplex method (in algebraic form) step by step to solve the following problem. Show all work and provide the solution.
Maximize Z = (xsub1) + 2(xsub2) + 3(xsub3) less than or equal to 15
5(xsub1) + 2(xsub2) + 3(xsub3) less than or equal to 15
xsub1 + 4(xsub2) + 2(xsub3) less than or equal to 12
2(xsub1) + xsub3 less than or equal to 8
xsub1 greater than or equal to 0
xsub2 greater than or equal to 0
xsub 3 greater than or equal to 0
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