A Simplex Table Is Shown Below AWhat Is the Current Complete Solution?
B

question 33

Essay

A simplex table is shown below. $$\begin{array} { c c | c c c c c c | c } & & x _ { 1 } & x _ { 2 } & x _ { 3 } & s _ { 1 } & s _ { 2 } & s _ { 3 } & \\\text { Basis } & c _ { B } & 5 & 4 & 8 & 0 & 0 & 0 & \\\hline s _ { 1 } & 0 & 2 / 5 & - 3 / 5 & 0 & 1 & - 2 / 5 & 0 & 4 \\\mathrm { x } _ { 3 } & 8 & 4 / 5 & 4 / 5 & 1 & 0 & 1 / 5 & 0 & 8 \\s _ { 3 } & 0 & 4 / 5 & 9 / 5 & 0 & 0 & 1 / 5 & 1 & 10 \\\hline & z _ { j } & 32 / 5 & 32 / 5 & 8 & 0 & 8 / 5 & 0 & 64 \\& c _ { j } - z _ { j } & - 7 / 5 & - 12 / 5 & 0 & 0 & - 8 / 5 & 0 &\end{array}$$
a.What is the current complete solution?
b.The 32/5 for z₁ is composed of 0 + 8(4/5) + 0.Explain the meaning of this number.
c.Explain the meaning of the -12/5 value for c ₂ - z₂.

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