Suppose that Bob, Carol, and Ted view a cake as shown below: Assume that each player regards a piece as acceptable if and only if it is at least five square units of value. Assume all cuts are vertical. Provide a total of three drawings to show how each player views a division of the cake by Bob into three pieces he considers to be the same size or value. Now use the Steinhaus lone-divider method to get a proportional allocation, indicating who approves of which piece and how large a piece each player thinks he or she is receiving.

Question

Suppose that Bob, Carol, and Ted view a cake as shown below:  Assume that each player regards a piece as acceptable if and only if it is at least five square units of value. Assume all cuts are vertical. Provide a total of three drawings to show how each player views a division of the cake by Bob into three pieces he considers to be the same size or value. Now use the Steinhaus lone-divider method to get a proportional allocation, indicating who approves of which piece and how large a piece each player thinks he or she is receiving.

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The Answer of Suppose that Bob, Carol, and Ted view a cake as shown below:  Assume that each player regards a piece as acceptable if and only if it is at least five square units of value. Assume all cuts are vertical. Provide a total of three drawings to show how each player views a division of the cake by Bob into three pieces he considers to be the same size or value. Now use the Steinhaus lone-divider method to get a proportional allocation, indicating who approves of which piece and how large a piece each player thinks he or she is receiving.

Suppose That Bob, Carol, and Ted View a Cake as Shown