Determine from a Review of the Following Tableau Whether the Linear

question 39

Essay

Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions. $$\begin{array} { c c | c c c c c | c } \text { Basis } & \mathrm { C } _ { \mathrm { B } } & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm {~s} _ { 3 } & \\\hline \mathrm { s } _ { 3 } & 0 & 0 & 0 & 1 & - 1 / 5 & 8 / 6 & 6 \\\mathrm { x } _ { 2 } & 2 & 0 & 1 & 0 & 1 / 5 & - 3 / 5 & 1 \\\mathrm { x } _ { 1 } & 3 & 1 & 0 & 0 & 1 / 5 & 2 / 5 & 4 \\\hline & \mathrm { z } _ { \mathrm { j } } & 3 & 2 & 0 & 0 & 0 & 14 \\& \mathrm { c } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & 0 & 0 & 0 & - 1 & 0 &\end{array}$$

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Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a specific price over a given period of time.

Price Rise

An increase in the cost of goods or services, often influenced by factors like supply and demand, inflation, or production costs.

Supply Elasticity

The degree to which the supply of a commodity reacts to shifts in its market price.

Adjustment Period

The time frame in which adjustments are made to adapt to new conditions, such as changes in interest rates for adjustable-rate mortgages or the transition period in economic policies.