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# Cubic Production Function

In Microsoft Excel please respond to all questions and math problems in the following problem (See Attachment). Please show Microsoft Excel formula(s) and work.

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Homework Exercise Numbers 1

1. A firm estimates its cubic production function of the following form: Q = AL3 + BL2 and obtains the following results:

[see attachment for table]

a. The equations for total product, average product, and marginal product are:
TP = ___________________________
AP = ___________________________
MP = ___________________________

b. The estimated values of A and B are statistically significant at the (exact) levels, ________ and _________, respectively.

c. At _______ units of labor usage, marginal product of labor begins to diminish.

When the wage rate is \$300, answer the following questions. (Remember that AP =
Q/L; AVC = w/AP; and SMC = w/MP.)

d. Average product of labor reaches its maximum value at ________ units of labor.

e. At the output for part d, average variable cost is \$______________ and marginal cost is \$____________.

f. When the rate of labor usage is 100 units of labor, output is _______ units.
Average variable cost is \$_________ and marginal cost is \$__________.

#### Solution Preview

Please see the attached file. Feel free to let me know if you have any questions!

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Homework Exercise Numbers 1

1. A firm estimates its cubic production function of the following form: Q = AL^3 + BL^2 and obtains the following results:

DEPENDENT VARIABLE Q R?SQUARE F?RATIO P?VALUE ON F
...

\$2.19