Solve the following optimization problem (Be sure to include thestatement of the optimization problem and a graph of the feasiblein your solution):
Jamie has joined a building contest. A dog shape requires 3small blocks and one large block to build. A robot shape requires 5small bricks and 5 large bricks to build. Jamie has a supply of 240small bricks and 100 large bricks.
If a dog is worth 2 points and a robot is worth 7 points, howmany shapes of each type should Jamie build to maximize thepoints?