What is the Production Function? 

We can summarize the ideas so far in terms of a production function, a mathematical expression or equation that explains the engineering relationship between inputs and outputs:

Q = f ⎡NR, L, K, t, E⎤

The production function gives the answer to the question, how much output can the firm produce given different amounts of inputs? Production functions are specific to the product. Different products have different production functions. The amount of labor a farmer uses to produce a bushel of wheat is likely different than that required to produce an automobile. Firms in the same industry may have somewhat different production functions, since each firm may produce a little differently. One pizza restaurant may make its own dough and sauce, while another may buy those pre-made. A sit-down pizza restaurant probably uses more labor (to handle table service) than a purely take-out restaurant.

Relate Topics

• Theory of the Firm
• Capital Formation
• Rent Seeking
• Structure Conduct Performance Model
• Integration
• Co-Insurance Effect
• Conglomerates
• Cost vs Profit Center
• Accelerator Theory
• Market Structure
• Fixed Cost vs Variable Cost
• Actual vs Implicit Costs
• Explicit Costs
• True Cost Economics
• Accounting Profit
• Economic Profit
• What are Factors of Production?
• Factor Income
• Production Function
• Fixed and Variable Inputs
• Short-Run and Long-Run Production
• Short Run
• Total Product
• Marginal Product
• Value of Marginal Product
• Law of Marginal Diminishing Product
• Production Function
• Production Possibilities Frontier
• Capital 
• Labor Theory of Value
• How the Production Function Estimates Inputs
• Factor Payment
• Economic Rent
• Cost Function
• Incremental Cost
• Marginal Input Cost  
• Fixed and Variable Costs
• Diminishing Marginal Productivity
• Costs Relate to Diminishing Marginal Productivity
• Law of Diminishing Marginal Returns
• Average Total Cost
• Average Variable Cost
• Marginal Cost
• Average Profit or Profit Margin
• Accounting Profit
• Economic Profit
• Normal Profit
• Short and Long-Run Production
• Cost Curves
• Long-Run Average Cost (LRAC)
• Production Technologies
• Economies of Scope
• Economies of Scale
• Diseconomies of Scale
• Minimum Efficient Scale
• Increasing, Constant, and Decreasing Returns to Scale
• Shape of the Average Long-Run and Short-Run Cost Curves
• Returns to Scale
• Diseconomies of Scale
• Long-Run Average Cost Curve Affect Industry Competitors
• Technology Shifts the Long-Run Average Cost Curve
• Law of Diminishing Marginal Returns