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O-ring with sequential production. Suppose a firm has hired three workers, who's probabilities of successful completion of a task are q1, q2, q3, where q1

"O-ring" with sequential production. Suppose a firm has hired three workers, who's probabilities of successful completion of a task are q1, q2, q3, where q1
What allocation of workers minimizes a firm's costs? What is the total cost of production? Prove your result by choosing an alternative allocation of workers and showing that the total cost has increased.

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