Sensitivity Report for a Linear Programming problem is given below. Answer the

following questions based on the report

$$ What is the optimal solution and optimal value of the LP problem?

$$ How many optimal solutions are there?

$$ If the coefficient of X$2$ decreases by $1$ unit, what happens to the optimal

solution and optimal value?

$$ If the coefficient of X$1$ increases by $1$ unit and the coefficient of X$2$

decreases by $1$ unit, at the same time, what happens to the optimal

solution and optimal value?