A factory's total production cost (C) is determined by the number of units (q) it produces, according to the function C(q) = 1000 + 10q + 0.1q². The number of units produced is a function of the hours of labor (L) used, given by q(L) = 20L. When 5 hours of labor are used, the marginal cost with respect to labor (the rate at which cost changes for each additional hour of labor) is ____.
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Diminishing Average Product of Labor Evidenced by Tabular Data
A community farm operates on a fixed plot of land. Initially, 20 farmers work the land and produce a total of 10,000 kilograms of wheat. To increase the harvest, 10 more farmers are added. The new total output is 13,500 kilograms. While the total harvest increased, the average amount of wheat produced per farmer decreased. Which underlying principle does this outcome demonstrate?
Farm Productivity Analysis
A factory's total production cost (
C) is determined by the number of units (q) it produces, according to the functionC(q) = 1000 + 10q + 0.1q². The number of units produced is a function of the hours of labor (L) used, given byq(L) = 20L. When 5 hours of labor are used, the marginal cost with respect to labor (the rate at which cost changes for each additional hour of labor) is ____.Evaluating the Grain Production Model's Assumptions
In a production model where a variable input (like labor) is added to a fixed input (like land), if the total output continues to increase with each additional unit of labor, it is impossible for the average output per unit of labor to be decreasing.
A simplified model of agricultural production is based on two core assumptions about the relationship between labor (farmers) and output (grain) on a fixed amount of land. Match each scenario below to the assumption it best illustrates.
Community Garden Productivity
Workshop Production Analysis
Causes of Diminishing Average Product of Labor in Agriculture
A community begins farming on a fixed plot of land. Based on the typical relationship between labor and production, arrange the following stages in the logical order they would occur as the number of farmers progressively increases.
A farm's corn production is recorded at different levels of labor, as shown in the table below. In which of the following scenarios does adding a worker lead to an increase in total production but a decrease in the average production per worker?
Number of Workers Total Bushels of Corn Produced 1 10 2 24 3 39 4 52 5 60 6 66 Evaluating the Grain Production Model's Assumptions