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Short-Run Average and Marginal Product Curves

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ASSIGNMENT #1: SHORT-RUN AVERAGE AND MARGINAL PRODUCT CURVES

October 14, 2010
ASSIGNMENT #1: SHORT-RUN AVERAGE AND MARGINAL PRODUCT CURVES

This assignment requires us to complete the average product and marginal product in the given table for a hypothetical short-run firm. We will then illustrate the average product and marginal product curves in a graph, based on the completed table. We are then asked to expound the three regions of production and what is the best stage of production for our hypothetical short-run firm, based on the data in the table and graph.

SHORT-RUN AVERAGE AND MARGINAL PRODUCT

Amount of labor
(units)
L |
Amount of capital
(No. of machines)
K |
Output
(hundreds of parts)
Q |
Average
Product
APL=Q/L |
Marginal
Product
MPL=( Q/ L) | |0 |5 |0 |- |- | |1 |5 |49 |49 |49 | |2 |5 |132 |66 |83 | |3 |5 |243 |81 |*111 | |4 |5 |376 |94 |133 | |5 |5 |525 |*105 |149 | |6 |5 |684 |114 |159 | |6.6 |5 |792.59 |120.09 |*180.98 | |7 |5 |847 |*121 |163 | |8 |5 |1008 |126 |161 | |9 |5 |1161 |*129 |*153 | |10 |5 |1300 |130 |139 | |11 |5 |1419 |*129 |119 | |12 |5 |1512 |126 |93 | |13 |5 |1573 |121 |*61 | |14 |5 |1596 |*114 |23 | |14 |5 |1575 |105 |0 | |

SHORT-RUN AVERAGE PRODUCT (AP) AND MARGINAL PRODUCT (MP) CURVES

[pic]

THE THREE REGIONS OF PRODUCTION

Based on the table and graph above, the three regions of production are:

Region of increasing marginal returns: This region, as indicated by the data in the table and illustrated in the graph, is from 0 units of labor to 6.6 units of labor. At 6.6 units of labor, marginal product of labor reached its peak at 180.98 units. Since the marginal product of labor rapidly increased in this region, average product also increased.

Region of diminishing marginal returns: This region is from 6.6 units of labor to 14 units of labor. From labor input L1 to labor input L2, marginal product of labor is still higher than the average product of labor but it is decreasing causing the average product to reach a plateau at labor input L2. As more labor units of labor are employed, marginal product decreased until it reached zero at 14 units of labor.

Region of negative marginal returns: This region is represented in our graph by what is beyond labor input L3 or after 14 units of labor is used. Although a negative marginal return was not indicated in the table, employing additional units of labor would yield negative marginal product as productivity is constrained by the amount of fixed input and redundancy of the variable input.

THE MOST RATIONAL STAGE OF PRODUCTION

Assuming that all other inputs are held constant in our hypothetical short-run firm, the data in our table and graph confirms one rational stage to achieve maximization of production and that is at labor input level L1 or with 6.6 units of labor utilized. This is where marginal product of labor reached its peak with 180.98 units and the total product and average product are at a steady rate of increase. Our table and graph show that after labor input level L1 where additional units of labor is utilized, the law of diminishing marginal returns applies.
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L1

L2

L3

MP

AP

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