The range of feasibility measures

a. the right-hand-side values for which the objective function value will not change.
b. the right-hand-side values for which the values of the decision variables will not change.
c. the right-hand-side values for which the dual prices will not change.
d. All of these are correct.

c. the right-hand-side values for which the dual prices will not change.

Step-by-step explanation:

The range of feasibility measures the right-hand-side values for which the dual prices will not change.

The dual price measures per unit increase in the right hand side,

the improvement in the value of the optimal solution.

C

Step-by-step explanation:

It measures the right hand side values for which the dual prices will not change.

The range of Feasibility measures the length of change in the Right Hand Side values for the restrictions which can differ together with the unchanging values of shadow or dual prices and variables in a solution which remains unchanged or constant.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116