Linear programming is to be used to determine a production plan strategy of Level Production, Overtime, and Subcontracting. $1.$ Formulate the Objective Function $($note that there are $3$ quarters$).2.$ Formulate all Constraints $($standardized$).3.$ How many decision variables are in the model? $4.$ How many constraints are in the model? Part $2$ Given the following information: Linear programming is to be used to determine a production plan stratezy of Level Production, Chase Demand, and Subcontracting. Regular Production is the only capacity limit$.5.$ Formulate the Objective Function $($note which strategies to use$).6.$ and $7.$ Formulate all Constraints $($standardized$).8.$ How many constraints are in the model? $9.$ If there were $12$ months of forecasts, instead of $3$ quarters, how many decision variables would be in the model?