Shown below is a sensitivity report produced by Excel Solver for an LP problem with $2$ decision variables $($x$1,$ x$2)$ and $3$ constraints $($cons$1,$ cons$2,$ cons$3)$ Use the information to solve the following $5$ questions Variable Cells Final Reduced Objective AllowableAllowable Cell NameValue Cost Coefficient Increase Decrease $B$$4$ x$1600200300200$ $C$$4$ x$22005001$E$+30300$ Constraints Final Shadow Constraint AllowableAllowable Cell NameValue Price R$.$H$.$ Side Increase Decrease $D$$7$ cons$110001601$E$+3060$ $D$$8$ cons$2401504012040$ $D$$9$ cons$380200806060$Sensitivity Analysis $($Sample Questions$)$ If we change the coefficient of x$1$ in the objective function to $300,$ what would be the numerical change in the LP optimal value of x$1?$ A$.0$ B$.200$ C$.300$ D$.500$ E$.$ We have to solve the problem again $$ If we change the coefficient of x$2$ in the objective function to $100,$ what would be the numerical change in the LP optimal value of x$2?$ A$.0$ B$.100$ C$.300$ D$.500$ E$.$ We have to solve the problem againSensitivity Analysis $($Sample Questions$)$ If the RHS constraint of cons$1$ is increased to $200,$ what would be the numerical change in the LP optimal value of the objective function? A$.0$ B$.40$ C$.60$ D$.160$ E$.$ We have to solve the problem again $$ If the RHS constraint of cons$2$ is increased to $80,$ what would be the numerical change in the LP optimal value of the objective function? A$.40$ B$.120$ C$.150$ D$.6000$ E$.$ We have to solve the problem again $$ If the RHS constraint of cons$3$ is increased to $160,$ what would be the numerical change in the LP optimal value of the objective function? A$.60$ B$.80$ C$.200$ D$.16000$ E$.$ We have to solve the problem again