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Profit Maximization in Labor Market (VMP = Wage)

  • Factors of Production - these are also called inputs. It's anything you put in to the business like workers (labor), machines (capital), and raw materials.
  • Production Function - the relationship between inputs and output.
  • Marginal Product - The additional products from hiring one extra worker.
Image illustrating Profit Maximization in Labor Market (VMP = Wage)



 Marginal Product= ∆Q∆L\boxed{\text\ Marginal\ Product =\ \frac{∆Q}{∆L}}


 Value of the Marginal Product (Marginal Revenue Product)= MP ⋅ Price\boxed{\text\ Value\ of\ the\ Marginal\ Product\ \left(Marginal\ Revenue\ Product\right) =\ MP\ \cdot\ Price}



Example: Suppose the price that each textbook sells for in the market is $10 and the current wage per worker is $500


L (Labor) Q (Output) MP (Marginal Product) VMP (MRP) Wage Marginal Profit (VMP - Wage)

0 0 - - - -

1 100 ________ ________ $500 ________

2 180 ________ ________ $500 ________

3 200 ________ ________ $500 ________

4 210 ________ ________ $500 ________

5 215 ________ ________ $500 ________



  • If VMP (MRP) > Wage the firm should hire ________ labor. In the table above, this occurs for the first ________ workers.
  • If VMP (MRP) < Wage the firm should hire ________ labor. This occurs for worker ________ and any worker after that.
  • If VMP (MRP) = Wage the firm is maximizing profits (should not change labor)
  • The profit maximizing quantity of labor that should be hired is ________ workers








Practice: Profit Maximization in Labor Market

A backpack company in a competitive market sells its bags for $45 per bag and hires units of labor at a rate of $15 per hour. If they want to maximize their profits, they should hire units of labor until the marginal product of labor is

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