Use the simplex method to solve the linear programming problem. Maximize subject to ​z=8x1​−7x2​+2x3​2x1​−x2​+8x3​≤444x1​−5x2​+6x3​≤682x1​−2x2​+6x3​≤30x1​≥0,x2​≥0,x3​≥0.​ Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is when x1​=x2​=,x3​=s1​=,s2​= and s3​= B. There is no maximum.

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