Question: Five Hong Kong tailors-Simon, Pat, Choon, Paul, and Wu-must complete alterations on a suit for the duke and a dress for the duchess as quickly as possible. On the dress, Choon must first spend 45 minutes cutting the fabric, then Pat will spend 75 minutes sewing the bodice, Simon will need 30 minutes stitching the sleeves, Paul 2 hours lacing the hem, and finally Wu will need 80 minutes for finishing touches.
As far as the suit is concerned, Pat begins with shortening the sleeves, which requires 100 minutes. He is followed by Paul, who sews in the lining in 1.75 hours; Wu, who spends 90 minutes sewing on the buttons and narrowing the lapels; and finally Choon, who presses and cleans the suit in 30 minutes. Determine precisely when each tailor should be performing each task in order to minimize the total time required to complete the dress and the suit. Assume that the tailors start working at 9 a.m. and take no breaks. Draw the Gantt chart indicating your solution.