Calculation of marginal product, marginal cost.

Nimbus, Inc., makes brooms and then sells them door-to- door. Here is the relationship between the number of workers and Nimbus’s output in a given day: [Refer the attachment] a. Fill in the column of marginal products. What pattern do you see? How might you explain it? b. A worker costs $100 a day, and the firm has fixed costs of $200. Use this information to fill in the column for total cost. c. Fill in the column for average total cost. (Recall that ATC = TC/Q.) What pattern do you see? d. Now fill in the column for marginal cost. (Recall that MC = change in TC/change in Q.) What pattern do you see? e. Compare the column for marginal product and the column for marginal cost. Explain the relationship. f. Compare the column for average total cost and the column for marginal cost. Explain the relationship.