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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Definitions:

Oligopoly Model

An economic model that describes a market structure in which a few firms dominate the industry and have the ability to influence prices and market outcomes.

Competitive Market

A market structure in which many firms offer products or services that are similar, leading to high levels of competition.

Remarkable Healing

Significant or extraordinary recovery from illness or injury.

Cournot Duopolists

Firms in a duopoly market structure where each firm chooses its output level assuming the other does not change its output, leading to a strategic interdependence in decision-making.