Linear Programming Word Problem 11. Bob builds tool sheds. He uses 10 sheets of dry wall and 15 studs for a small shed and 15 sheets of
dry wall and 45 studs for a large shed. He has at most 60 sheets of dry wall and at most 135 studs
available. If Bob makes $390 profit on a small shed and $520 on a large shed, how many of each type of
shed should Bob build to maximize his profit? How much will his profit be? (You must write the
objective function, write and graph the constraints, identify and calculate the profit at each vertex of
the feasible region and then clearly identify the solution. Show all work!)
X= Small
Y=large