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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Definitions:

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for integrating sensory information and responding accordingly.

Complications

Unexpected problems or conditions that develop during or after a disease, treatment, or surgical procedure, potentially worsening the patient’s health situation.

Phenytoin (Dilantin)

An anticonvulsant medication used to manage and prevent certain types of seizures.

Phenobarbital

A type of barbiturate medication used to manage and treat seizures, as well as to help with sedation.