Charles is planning to have a party for Laura's 16th birthday. He will be making wooden benches and tables. He estimates that a wooden bench will take 4 hours
to complete and a wooden table will take 2 hours; he plans to work no more than
60 hours per week. Charles wants to make at least 4 tables and at least 8
benches. If the wood costs $40 for a table and $25 for a bench, find a combination
of benches and tables that will minimize his cost so that he has more money for
Laura's birthday present.
Part 1: Define the variables for your situation.
Part 2: Create the constraints for the situation given above.
Part 3: Create the objective
function.
Part 4: Graph the constraints.
Part 5: Identify the vertices.
Part 6: Test the vertices in the
objective function.
Part 7: Determine the combination
of cakes and pies that will
maximize her income for a week.
SI