Sanderson Manufacturing produces ornate, decorative wood frame doors and windows. Each item produced
goes through three manufacturing processes: cutting, sanding, and finishing. Each door produced requires 1
hour in cutting, 30 minutes in sanding, and 30 minutes in finishing. Each window requires 30 minutes in cutting,
45 minutes in sanding, and 1 hour in finishing. In the coming week, Sanderson has 40 hours of cutting capacity
available, 40 hours of sanding capacity, and 60 hours of finishing capacity. Assume all doors produced can be
sold for a profit of $500, and all windows can be sold for a profit of $400.
A. Formulate an LP model for this problem.
B. Sketch the feasible region.
C. What is the optimal solution?
Sample Solution