For This Optimal Simplex Tableau, the Right-Hand Sides for the Two

question 1

Essay

For this optimal simplex tableau, the right-hand sides for the two original $\ge$ constraints were 300 and 250. The problem was a minimization. $$\begin{array} { c c | c c c c c | c } & & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm { x } _ { 3 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \\\text { Basis } & \mathrm { C } _ { \mathrm { B } } & - 100 & - 110 & - 95 & 0 & 0 & \\\hline \mathrm { x } _ { 3 } & - 95 & 0 & - 1.5 & 1 & 1 & - 1.5 & 75 \\\mathrm { x } _ { 1 } & - 100 & 1 & 2 & 0 & - 1 & 1 & 50 \\\hline & \mathrm { z } _ { \mathrm { j } } & - 100 & - 57.5 & - 95 & 5 & 42.5 & - 12125 \\& \mathrm { C } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & 0 & - 52.5 & 0 & - 5 & - 42.5 &\end{array}$$
a.What would the new solution be if the right-hand side value in the first constraint had been 325?
b.What would the new solution be if the right-hand side value for the second constraint had been 220?

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Definitions:

Short-Run Phillips Curve

A graphical representation showing the inverse relationship between the rate of inflation and the rate of unemployment in the short term.

Long-Run Phillips Curve

A graphical representation in economics indicating that in the long run, there is no trade-off between inflation and unemployment, showing a vertical curve at the natural rate of unemployment.

Short-Run Phillips Curve

A concept in economics that shows an inverse relationship between unemployment and inflation in the short term.

Central Bank

An institution that manages a country's currency, money supply, and interest rates, overseeing its monetary policy and regulating its banking system.