Value of the Marginal Product (VMP) is defined as:

Question

Accepted Answer

The correct option is 1:

The Value of the Marginal Product (VMP) is a crucial concept in the theory of factor pricing and firm behavior in perfectly competitive markets. It measures the monetary value of the output produced by an additional unit of a variable input (like labor). To calculate VMP, we multiply the physical output generated by that marginal unit of input, known as the Marginal Physical Product (MPP), by the market price (P) at which the firm sells its product. The formula is thus: VMP = Price (P) $	imes$ Marginal Physical Product (MPP). In a perfectly competitive market, VMP is often used interchangeably with Marginal Revenue Product (MRP) because the price (P) is equal to the marginal revenue (MR).

The incorrect option is 2:
This option suggests VMP = P $\times$ TPP (Total Physical Product). TPP is the total output produced by a given amount of input, not the additional output from the last unit. Multiplying price by TPP would give the Total Revenue (TR) generated by the total units of input, not the marginal value.

The incorrect option is 3:
This option suggests VMP = P $\times$ MRP. This formula is incorrect because MRP (Marginal Revenue Product) is itself defined as the additional revenue generated by using one more unit of input. While VMP is numerically equal to MRP in a perfectly competitive market (where P = MR), the technical definition of VMP specifically uses the product price (P) and the marginal physical product (MPP).

The incorrect option is 4:
This option suggests VMP = P $\times$ TVP (Total Value Product). Total Value Product (TVP) is simply the Total Revenue (TR), calculated as P $\times$ TPP. Therefore, like Option 2, this calculates the total monetary value of all output produced, not the marginal monetary value of the last unit of input employed.