Marginal Product Formula

The marginal product formula measures the change in total output when one additional unit of a production factor (labor, machinery, capital) is added. It helps businesses predict whether adding resources will increase production efficiently.

Formula

$$\mathrm{Marginal\:Product = \frac{Q^{n} - Q^{n-1}}{L^{n} - L^{n-1}}}$$

Where

• Qⁿ Current total production output
• Q^n-1 Previous production output (before the change)
• Lⁿ Current number of production units (workers, machines)
• L^n-1 Previous number of production units

Step-by-Step Calculation

Consider an ice cream manufacturer that produces 10,000 cones/day with 3 employees. After hiring 2 more employees, production rises to 12,000 cones/day ?

Calculation

$$\mathrm{Marginal\:Product = \frac{12000 - 10000}{5 - 3} = \frac{2000}{2} = 1000}$$

Each additional employee adds 1,000 cones to daily production, showing that hiring was beneficial.

Factors Affecting Marginal Product

• Labor Adding workers increases output (as shown above).
• Capital Investing more funds can improve production capacity.
• Machinery Additional equipment speeds up production.
• Land More space allows higher production volume when demand is high.
• Market Demand High demand justifies increasing production factors.

How to Improve Marginal Product

• Change one factor at a time Adding all resources at once makes it hard to identify which factor improved output the most.
• Avoid excessive input Too many workers can increase wage costs beyond the revenue gained (diminishing returns).
• Measure incrementally Add small amounts of a production factor and measure the output change each time.

Conclusion

The marginal product formula measures the output gained per additional unit of input. By changing one production factor at a time and measuring the result, businesses can optimize resource allocation keeping production high while controlling costs.