The supervisor of a production company is trying to determine the number of two assembly parts, Part x and P art Y to be produced per day in three different sections of the plant. The time required for the production along with the profit contribution for each part is given in the following table: $[[,$Time required $($Minutes$/$Unit$)],[,$Section $1,$Section $2,$Section $3,$F$],[$Part X$,50,=30,18,],[$Part Y$,80,45,22,],[$Available time $($minutes$),3600,2500,1200,]]$ Each part made and Y $)$ must be processed in each of the three sections. No more than $60$ units of Part x can be produced, but up to $70$ units of Part Y can be produced per day. The company already has orders for $30$ units of Part Y that must be satisfied. What are the decision variables and develop a linear programming model for this