Technology shifts the production relationship

A more productive method changes output at given inputs.

Improved software, equipment, training, or organization can raise total and marginal product. A movement to another point on the same production function changes input use. A technological improvement shifts the function. The distinction parallels movement along and shift of demand or supply.

Suppose four workers produce 100 units under the old method and 125 under a new scheduling system. Holding labor and other inputs fixed, the technology improvement raises total product. If five workers under the old method produce 118, moving from four to five workers is movement along the old production function. The first comparison changes the method. The second changes input quantity.

Technology need not be a machine. Training can reduce errors, software can coordinate routes, and a redesigned workspace can reduce waiting. What matters is greater maximum output from the same input bundle or the same output from fewer inputs. A purchase that is never installed or does not alter feasible output is not a productivity shift merely because it is called technology.

When labor is the variable input and its wage is constant, marginal cost equals the wage divided by marginal product: MC=w/MP_L. Rising MP lowers MC. Diminishing MP raises MC. This inverse relationship is the bridge to the next chapter.

The formula follows from units. If the wage is $120 per worker-shift and a worker adds 30 units, the labor cost per added unit is $120/30=$4. If the next worker adds only 20 units at the same wage, marginal cost rises to $6. The wage is dollars per worker and MP is units per worker. Workers cancel, leaving dollars per unit.

If the wage changes, MC can change even when productivity does not. A higher wage raises w/MP. If technology raises MP, MC falls at a given wage. A question that reports lower marginal cost could therefore reflect either cheaper variable inputs or better productivity. Use the stated cause.

Shift versus movement

A restaurant hires a sixth cook in the same kitchen and output rises from 180 to 194 meals. The sixth cook’s MP is 14, a movement along the current production function. A new ordering system then allows the same six cooks to make 210 meals. That 16-meal increase reflects a technology shift at a fixed input quantity, not the marginal product of a seventh cook.

Technology can affect all input combinations unevenly. An introductory question usually asks only the direction: more output at given inputs shifts total product upward and typically lowers unit cost. Do not infer an exact new MP or output without data.

Finally, separate firm productivity from market demand. Better technology can increase supply by lowering production cost, but it does not directly shift buyers’ demand. The new market equilibrium then causes movement along demand. Keeping the production and market levels separate preserves the causal chain.

Label the added unit

The change from four to five workers is the marginal product of the fifth worker. An answer that divides total output by five is average product, even if the resulting number looks plausible.