at the maximum point of the marginal product curve.

where total product is at a maximum.

where marginal product equals zero.

at the maximum point of the average product curve.

Total Product

Marginal Product

Average product

Production function

as more of a variable input is used, while other inputs and technology are fixed, the average product of the variable input will increase.

as more of a variable input is used, while other inputs and technology are fixed, the marginal product of the variable input will eventually decrease.

as more of a variable input is used, while other inputs and technology are fixed, the average product of the fixed input will eventually decrease.

as more of a fixed input is used, while other inputs and technology are variable, the marginal product of the variable input will eventually increase.

 $AP=\frac{TP}{Q_L},\ where\ Q_L\ is\ a\ Quantity\ of\ Labor$  

 $AP=\frac{TP}{Q_C},\ where\ Q_C\ is\ a\ Quantity\ of\ Capital$  

 $AP=\frac{TP}{Q_L},\ where\ Q_L\ is\ a\ Quantity\ of\ Land$  

 $AP=\frac{TP}{Q},\ where\ Q_{ }\ is\ a\ Quantity\ produced$  

$\frac{\Delta TP}{\Delta Q_{input}}$

$\frac{TP}{Q_{input}}$

$\frac{Q_{input}}{Total\ product}$

$\frac{Change\ in\ Quality}{Change\ in\ price}$

the Quality of Input

The Quality of Output

The Quantity of Output

The Quantity of Input