1.PowerSound manufactures deluxe home entertainment systems.During the next four quarters the company must meet on time the demands for its deluxe product as given in the file GS3.xlsx.At the beginning of quarter 1, PowerSound has 200 units of this product in inventory.Each quarter the company's management must determine how many units to produce.During any quarter PowerSound can manufacture up to 800 units with regular-time labor and an unlimited number of these systems with overtime labor.Deluxe home entertainment systems manufactured with regular-time labor cost $8000 to produce, and systems manufactured with overtime labor cost $9000 to produce.It costs PowerSound $400 to hold one of these systems in inventory at the end of any quarter.The company wants to find a production and inventory schedule that minimizes the cost of meeting customer demands during the next four quarters.Formulate and solve an appropriate network model using the shell provided in the file GS3.xlsx.