Consider the following problem.

Maximize $501+602+553_{?}$

Subject to:

$x1+x2+x3100$

$21+3x2+2x3300$

$21+3x2+2x3250$

$x1,+2x360$

$x1,x2,x30$

a$.$ Use solver to get the sensitivity report and copy the report. Then use the report to

answer the following questions.

b$.$ State the optimal solution.

c$.$ What is the optimal objective function value?

d$.$ What would happen to the optimal solution if

a$.$ The unit profit on $x2$ decreases by $20?$

b$.$ The unit profit on $x3$ decreases to $45?$

c$.$ The unit profit on $x1$ and $x3$ change to $53?$

e$.$ Interpret the reduced cost for $x1.$

f$.$ What would happen to the objective function if

a$.$ The RHS of constraint $1$ increases by $5?$

b$.$ The RHS of constraint $2$ decreases to $250?$

c$.$ The RHS of constraint $4$ change to $44?$

g$.$ Which constraints are binding?

h$.$ What are the slack$/$surplus values?