The Function H(x, Y) = $x ^ { 4 }$ - 9

question 14

Multiple Choice

The function H(x, y) = $x ^ { 4 }$ - 9 $y ^ { 2 }$ - 2 $x ^ { 2 }$ y + 20y + 4 has

• A) neither a relative maximum nor minimum at (1, 4)
• B) a relative minimum at the point (0, 0)
• C) a relative maximum at the point (-1, 1)
• D) a relative maximum at the point (0, 1)
• E) none of these

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Definitions:

Marginal Product

The additional output that is produced by using one more unit of a variable input.

Average Product

This measures the productivity of inputs by dividing total production by the number of inputs, indicating the efficiency of input use.

Total Product

The total quantity of output produced by a firm or economy as a result of combining inputs of labor and capital over a specific time period.

Average Product

The output produced per unit of input used, calculated by dividing total output by the quantity of inputs.