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5. (10 pts) A rectangular sheet of metal with an area of 340 square centimeters is to be used to create an open box by

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5. (10 pts) A rectangular sheet of metal with an area of 340 square centimeters is to be used to create an open box by cutting squares with sides 5 cm long from each corner. The final box is to have a volume of 350 cubic cm. What are the dimensions of the box? 6. (8 pts) Find the maximum and minimum values of the objective function z = 100r + 120y given the constraint functions: 2 0 2cty 22 3r + 4y 48

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