Set up the initial simplex tableau for each of the given problems. You will be asked to solve these problems in Exercises 19-22.
Window Manufacturing A window manufacturing company can make 3 windows in small, medium, and large. Each window is worked on by three technicians: Todd, Donna, and Jackson. Todd can work up to 25 hours per week, Donna can work up to 45 hours a week, and Jackson can work 40 hours a week. Todd works 2 hours on the small windows, 1 hour on the medium windows, and 1 hour on the large windows. Donna works 2 hours on the small windows, 3 hours on the medium windows, and 2 hours on the large windows. Jackson works 1 hour on the small windows, 2 hours on the medium windows, and 4 hours on the large windows. The manager is worried about getting overextended, so no more than 4 large windows can be done in a week. The small windows sell for $180, the medium windows for $200, and the large windows for $220. Find the number of each size of windows that should be made weekly in order to maximize profit. Find the maximum possible profit.
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