Answer the following questions:$1.$ What are the basic variables$/$ Non basic variables?$2.$ What are the binding constraints$/$ non$-$binding constraints and what is the slack$/$surplus for each constraint?$3.$ What is the total production cost?$4.$ Determine the range of optimality for the labor hours such that the current solution remains optimal$\mathrm{.}5.$ How much would it cost to produce one more vehicle?$6.$ By how much would the solution change if it costs $$10,000$ to produce at plant $3?7.$ How would our solution change if it cost $$4,000$ to produce at plant $3?8.$ By how much would the solution change if it the material available increased to $5100?9.$ What would be the effect on the solution if the minimum production requirements at plant $3$ increased from $400$ to $420$ cars?$10.$ If the labor hours available increased by $200,$ the material available decreased by $200,$ and the minimum requirement at plant $3$ increase by $50$ simultaneously, what would be the effect on the solution?