A six-problem homework on which the Ph.D. is fastest gives a second constraint 2x1 + x2 + x3 = 6. Then x = (2, 2, 0) shows two hours of work by Ph.D. and student on each homework. Does this x minimize the cost cT x with c = (5, 3, 8)?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A six-problem homework on which the Ph.D. is fastest gives a second constraint 2x1 + x2 + x3 = 6. Then x = (2, 2, 0) shows two hours of work by Ph.D. and student on each homework. Does this x minimize the cost cT x with c = (5, 3, 8)?

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