Variable Cells

Final Reduced Objective Allowable Allowable

Cell Name Value Cost Coefficient Increase Decrease

$B$$2$ x$15041$E$+302\mathrm{.}8$

$B$$3$ x$20-4\mathrm{.}66666666724\mathrm{.}6666666671$E$+30$

Constraints

Final Shadow Constraint Allowable Allowable

Cell Name Value Price R$.$H$.$ Side Increase Decrease

$B$$11100201$E$+3010$

$B$$12151\mathrm{.}333333333151515$

a$.$ What range of values can the objective function coefficient for variable X$1$ assume without changing the optimal solution?

b$.$ Is the optimal solution to this problem unique, or are there alternate optimal solutions?

c$.$ How much does the objective function coefficient for variable X$2$ have to increase before it enters the optimal solution at a strictly positive level?

d$.$ What is the optimal objective function value if X$2$ equals $1?$

e$.$ What is the optimal objective function value if the RHS value for the second constraint changes from $15$ to $25?$

f$.$ Is the current solution still optimal if the coefficient for X$2$ in the second constraint changes from $5$ to $1?$ Explain.