If there are simultaneous changes in the objective function coefficients of both decision variables

and that the coefficient of X$1$ changes to $5,$ then what is the maximum increase that the coefficient

of X$2$ can have so as to guarantee that there will be no change in the optimal solution?

A$.1$ C$.3$

B$.2$ D$.$ cannot be determined

C

$14.$ Which of the following would not result in a change of the optimal solution? $($Assume that all the

shadow prices remained the same.$)$

A$.$ the coefficient of X$1$ in the second constraint changed from $1$ to $2$

B$.$ the coefficient of X$2$ in the first constraint changed from $1$ to $2$

C$.$ the coefficient of X$1$ in the third constraint changed from $2$ to $1$

$$

D$.$ the coefficient of X$2$ in the second constraint changed from $1$ to $2$

sp $01000$

B SP$$ RHS $$

$15.$ If an additional constraint, X$26,$ is added to the model, the optimal solution of the resulting

model is X$1=4$ and X$2=6.$ What is the shadow price of this new constraint?

A$.6$ C$.6$

$$

$$

B$.3$ D$.$ cannot be determined

$$

B

$16.$ Referring to the new model in question $15,$ what is the shadow price of the first constraint,

$2$X$1+$ X$216?$

A$.1$