Suppose Nathan and Laura are going to start their remodeling project. They have decided to do the drywall, painting, trim work, and finish plumbing themselves. They want to divide these four tasks between them so that each has exactly two tasks, but the total time they take is kept to a minimum. Each person has estimated the amount of time he/she will take for each task as shown in the table below.
Laura refuses to do both the painting and the drywall. Nathan won’t do the finishing plumbing unless Laura does the trim work. How should they divide the tasks among themselves? Formulate this