For This Optimal Simplex Tableau the Original Right-Hand Sides Were

question 34

Essay

For this optimal simplex tableau the original right-hand sides were 100 and 90. The problem was a maximization. $$\begin{array} { c c | c c c c c | c } & & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm { x } _ { 3 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \\\text { Basis } & \mathrm { c } _ { \mathrm { B } } & 2 & 4 & 8 & 0 & 0 & \\\hline \mathrm { x } _ { 3 } & 8 & 0 & .48 & 1 & .12 & - .04 & 8.4 \\\mathrm { x } _ { 1 } & 2 & 1 & .2 & 0 & - .2 & .4 & 16 \\\hline & \mathrm { z } _ { \mathrm { j } } & 2 & 4.24 & 8 & .56 & .48 & 99.2 \\& \mathrm { C } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & 0 & - .24 & 0 & - .56 & - .48 &\end{array}$$
a.What would the new solution be if there had been 150 units available in the first constraint?
b.What would the new solution be if there had been 70 units available in the second constraint?

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