Using$$c$1$and$$c$2$to represent the objective coefficients of x$1$ and x$2,$ respectively, the slope of a line for the objective function can be represented by

Group of answer choices

c$1$c$2$

c$2$c$1$

$-$c$1$c$2$

$-$c$2$c$1$

none of the above

$$

Flag question: Question $2$

Question $21$ pts

The slope of the line representing the equation part of the constraint$7$x$1+6$x$2420$ is

Group of answer choices

$-76$

$76$

$-67$

$67$

none of the above

$$

Flag question: Question $3$

Question $31$ pts

The slope of the line representing the equation part of the constraint $4$x$1+2$x$2200$ is

Group of answer choices

$2$

$2$

$-12$

$12$

none of the above

$$

Flag question: Question $4$

Question $41$ pts

The correct inequality used to determine the intervals for the objective coefficients is

Group of answer choices

$-2-$c$1$c$2-76$

$76$c$1$c$22$

both of the above

none of the above

cannot be determined

$$

Flag question: Question $5$

Question $51$ pts

Keeping c$2$ constant at c$2=12,$ the interval for c$1$ in which the current optimal solution remains optimal is

Group of answer choices

$-14$c$1-24$

$14$c$124$

$-24$c$1-14$

$24$c$114$

none of the above

$$

Flag question: Question $6$

Question $61$ pts

Keeping$$c$2$constant at$$c$2=12,$ the interval for the net change in c$1,$ represented by $$c$1,$ while the current optimal solution remains optimal, is

Group of answer choices

$1$c$1-9$

$1$c$19$

$-9$c$11$

$-1$c$19$

none of the above

$$

Flag question: Question $7$

Question $71$ pts

Keeping c$1$constant at c$1=15,$ the interval for c$2$in which the current optimal solution remains optimal is

Group of answer choices

$907$c$2152$

$790$c$2215$

$215$c$2790$

$152$c$2907$

none of the above

$$

Flag question: Question $8$

Question $81$ pts

Keeping c$1$ constant at c$1=15,$ the interval for the net change in c$2,$ represented by$$c$2,$ while the current optimal solution remains optimal is

Group of answer choices

$-76$c$229$

$-92$c$267$

$-29$c$276$

$-67$c$292$

none of the above

$$

Flag question: Question $9$

Question $91$ pts

The shadow price or dual value of resource $2$ is

Group of answer choices

$0\mathrm{.}6$

$876\mathrm{.}6$

$876$

$12$

none of the above

$$

Flag question: Question $10$

Question $101$ pts

Let $2$ represent the shadow price of resource $2.$ Then $2$ means

Group of answer choices

the value of the objective function will increase by $2$ if the availability of resource $2$ decreases by $1$ unit.

the value of the objective function will decrease by $2$ if the availability of resource $1$ decreases by $1$ unit.

the vaue of the objective function will increase by $2$ if the availability of resource $1$ increases by $1$ unit.

the value of the objective function will decrease by $2$ if the availability of resource $2$ increases by $1$ unit.

the value of the objective function will increase by $2$ if the availability of resource $2$ increases by $1$ unit.