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Luke decided to take over his parents' caf$.$ They had $5$ workers and Luke hired a $6$th worker. In doing so$,$ however, he obse$$ves that the caf$\text{'}$s output did not change. Which of the following statements is true?

A$)$ The marginal product of the sixth worker must be negative.

B$)$ The marginal product of the sixth worker is zero.

C$)$ The average product of the sixth worker is negative.

D$)$ The sixth worker does not have the skills needed for the job.

E$)$ The total product becomes negative.

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