Once the model is solved, answer the following questions:

What is the monthly profit and monthly production for each air conditioner type?

Run the sensitivity report. Which constraints are binding?

Only using the sensitivity report $($do not change the value and re$-$run the model$),$ would the optimal production plan change if the profit for each Micro air conditioner change to $1000?$ If your answer is yes, explain your reasoning. If your answer is no$,$ what is the new monthly profit and explain your calculation.

Only using the sensitivity report $($do not change the value and re$-$run the model$),$ would the optimal production plan change if the profit for each Residential air conditioner change to $1750?$ If your answer is yes, explain your reasoning. If your answer is no$,$ what is the new monthly profit and explain your calculation.

Only using the sensitivity report $($do not change the value and re$-$run the model$),$ can you determine the new objective function value without re$-$running the model if the number of hours available in the Stamping department change to $8050?$ If your answer is no$,$ explain your reasoning. If yes, what is the new monthly profit and explain your calculation.

Only using the sensitivity report $($do not change the value and re$-$run the model$),$ can you determine the new objective function value without re$-$running the model if the number of hours available in the Welding department change to $9000?$ If your answer is no$,$ explain your reasoning. If yes, what is the new monthly profit and explain your calculation.