Sherwin-Williams would like to develop a master production schedule for its popular Harmony Interior Acrylic Latex paint over the next 4 quarters. The quarterly forecast (in 1000 gallons) for the Harmony Interior Acrylic Latex paint is provided in the table below. SherwinWilliams has currently 30K gallons of Harmony Interior Acrylic Latex paint on hand. Whenever a production is scheduled in a quarter, the lot size for that production is always 80K per quarter. As the production manager of Sherwin-Williams, using time-phased record, develop a master production schedule to minimize the ending inventory (i.e., the inventory at the end of the 4th quarter.