Suppose a wire that is 107 feet long is cut into one piece of length x feet and another of length 
feet. The first piece is bent into a square, and the second is bent into a circle. The total area enclosed is given by
square feet.
A: Make a graph of A versus x. In choosing your viewing window, bear in mind that the formula makes sense only when x is between 0 and 107.B: What is the area at the left-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.C: What is the area at the right-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.D: How should the wire be used so that the maximum area is enclosed?
What will be an ideal response?
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B: The area is 911.08 square feet. All the wire is used for the circle.
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C: The area is 715.56 square feet. All the wire is used for the square.
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D: The maximum area is obtained if all the wire is used for the circle.
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Solve and graph. Write the solution set in set-builder and interval notation.3 < x < 7
A. {x|3 < x < 7}; (3, 7)
B. {x|3 ? x < 7}; [3, 7) 
C. {x|3 ? x ? 7}; [3, 7] 
D. {x|3 < x ? 7}; (3, 7] 
Tell whether the statement is true or false.6 ? {4, 54, 6, 7}
A. True B. False
Provide an appropriate response.Select a decimal percent with three digits and write it as a fraction. Select a fraction with a two-digit denominator and write it as a percent. Explain each step of your work.
What will be an ideal response?
Use duality to solve the problem.Minimizew = y1 + 3y2 + 2y3subject to:y1 + y2 + y3 ? 50 2y1 + y2 ? 25 y1 ? 0, y2 ? 0, y3 ? 0
A. 50 B. 75 C. 87.5 D. 12.5