The supervisor of a manufacturing plant is trying to determinehow many of two parts, Part X and Part Y, are to be produced perday. Each part must be processed in three sections of the plant.The time required for the production along with the profitcontribution for each part are given in the following table. Timerequired (Minutes/Unit) Section 1 Section 2 Section 3 Profit/UnitPart X 50 30 18 $2 Part Y 80 45 22 $3 Available time (minutes)3,600 2,500 1,200 ​ No more than 60 units of Part X and up to 70units of Part Y can be produced per day.
​a.What are the variables and the objective function?
b. Develop a linear programming model and solve the model todetermine the optimal production quantities of Parts X and Y andsolve with graphing. No need to include the graph , but pleaseinclude the corner points for the feasible region
c. What is the maximum profit
